Sen. Corker: White House is running orchestrated campaign against CAP Act

Corker claims those cuts would result in $7.6 trillion in savings over a 10-year period.

Either way, Corker noted, most Republicans are going to demand significant decreases in government spending.

"I don’t think there is any Republican I know of that’s going to vote for a debt limit increase without dramatic changes in spending," said Corker.

The Commitment to American Prosperity Act, or the “CAP Act,” is co-sponsored by GOP Sens. Lamar AlexanderLamar AlexanderSenate honors Tennessee coach Pat Summitt Bipartisan gun measure survives test vote Overnight Healthcare: GOP plan marks new phase in ObamaCare fight MORE (Tenn.), Richard BurrRichard BurrHomeland Security Committee pushes encryption commission in new report Clinton endorses Warner-McCaul encryption commission Lobbying world MORE (N.C.), Saxby ChamblissSaxby ChamblissWyden hammers CIA chief over Senate spying Cruz is a liability Inside Paul Ryan’s brain trust MORE (Ga.), James InhofeJames InhofeSenate Republicans push for Flint aid bill Menendez rails against Puerto Rico bill for 4 hours on floor EPA proposes climate rule incentives despite court hold MORE (Okla.), Johnny IsaksonJohnny IsaksonSenate faces critical vote on Puerto Rico GOP senators: Obama bathroom guidance is 'not appropriate' Amateur theatrics: An insult to Africa MORE (Ga.), Mark KirkMark KirkSenate panel approves 0M for international climate fund Senator calls for pause in accepting Syrian refugees after Istanbul attack Overnight Healthcare: Blame game over Zika funding MORE (Ill.) and John McCainJohn McCainBush World goes for Clinton, but will a former president? GOP senator: Trump could lose Arizona Senate panel passes bill that would create 4K visas for Afghans MORE (Ariz.).

Freshman Sen. Joe ManchinJoe ManchinOvernight Finance: Trump threatens NAFTA withdrawal | Senate poised for crucial Puerto Rico vote | Ryan calls for UK trade deal | Senate Dems block Zika funding deal Overnight Energy: Volkswagen reaches .7B settlement over emissions Senators rally for coal miner pension fix MORE (D-W.Va.) on Tuesday announced his support for the "CAP Act."

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