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The polling, conducted by Democratic firm Public Policy Polling for progressive group MoveOn.org, shows a generic Democratic candidate leading Republican Reps. Ed Royce (Calif.), Darrell Issa (Calif.), Scott Tipton (Colo.), John Mica (Fla.), Mario Diaz-BalartMario Rafael Diaz-BalartLatino advocacy group targets 7 Republicans in push against ObamaCare replacement Lawmakers slam plan to separate air traffic control from FAA Hispanic Republican leaders shun Trump MORE (Fla.), Peter Roskam (Ill.), Justin AmashJustin AmashWatchdog: Haley violated federal law by retweeting Trump endorsement House votes to crack down on undocumented immigrants with gang ties GOP lawmaker taunts House conservatives: Trump’s base is not ‘small faction of obstructionists’ MORE (Mich.), Scott GarrettScott GarrettOvernight Finance: What to watch for in GOP tax plan rollout | IRS sharing info with special counsel probe | SEC doesn't know full extent of hack | New sanctions target North Korean banks US Chamber opposes Trump's Export-Import Bank nominee Conservative groups urge Trump to stick with Ex-Im Bank nominee MORE (N.J.), Rodney FrelinghuysenRodney FrelinghuysenOvernight Finance: White House requests B for disaster relief | Ex-Equifax chief grilled over stock sales | House panel approves B for border wall | Tax plan puts swing-state Republicans in tough spot White House requests B for disaster relief Ryan: More hurricane aid likely coming in October MORE (N.J.), Steve Stivers (Ohio), Jim Renacci (Ohio), Joe Pitts (Pa.), Robert HurtRobert HurtDemocrat defeats controversial chair of House Wall Street subpanel Republican groups launch final ad blitz in key House battlegrounds Armed protester stands outside Dem's office for 12 hours MORE (Va.) and Tom Petri (Wisc.), prior to respondents receiving any information about the shutdown.

And six GOP incumbents — Reps. Dave Camp (Mich.), Leonard Lance (N.J.), Richard Hanna (N.Y.), Michael Turner (Ohio), Rob WittmanRob WittmanNavy official: Budget, readiness issues led to ship collisions Air Force One is Trump’s new boardroom 355-ship Navy not a must under Trump's secretary nominee MORE (Va.) and Reid RibbleReid RibbleWith Trump, conservatives hope for ally in 'War on Christmas' GOP rushes to embrace Trump House stays Republican as GOP limits losses MORE (Wisc.) — all take a hit when respondents are told they supported a shutdown, with a generic Democrat either leading or tying each one.

Democrats only need to pick up 17 seats to take back the majority, and previous PPP polling has shown a similar result for the party, prompting speculation that if the 2014 elections were held today, Democrats would take back the House.

And a new CNN-ORC survey released Monday showed a majority of Americans, 54 percent, opposing Republican control of the House.

Still, Democrats aren't yet contesting and don't have contenders in most of those districts. The real concern for Republicans lies in the overall opposition to the shutdown, and the fact that backlash is significant enough that it appears to be hurting even lawmakers considered safe.

But the polling memo itself, written by PPP's Jim Williams, issues a warning even as it strikes an optimistic tone:

"A new round of post-shutdown polling shows that Democrats not only have an opportunity to take back the House of Representatives next year, but that they could win a sizable majority if," Williams writes, "voter anger over the shutdown carries into 2014."

Republicans note that it's still more than a year out from Election Day, and problems with ObamaCare could overshadow the shutdown and minimize any damage the party has suffered thus far.

Sample sizes for PPP's new surveys were between 600-1,000 voters per district, and the surveys were conducted Oct. 15-18.