By Justin Sink - 09/19/12 01:23 PM EDT
Romney himself has said his comments were "not elegantly stated" and that he was "speaking off the cuff."
"I'm sure I could state it more clearly in a more effective way than I did in a setting like that," Romney said Monday.
The Obama campaign has seized on the video to paint Romney as concerned only about those who would support him in the election.
"One of the things I learned as president is you represent the entire country," Obama said during an appearance on "The Late Show With David Letterman" Tuesday night. "If you want to be president, you have to work for everyone."