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Charles Dharapak, Associated Press
Republican presidential candidate, former Massachusetts Gov. Mitt Romney, stands with his wife Ann as he speaks at his South Carolina primary election night rally at the South Carolina State Fairgrounds in Columbia, S.C., Saturday, Jan. 21, 2012. Republican candidate Newt Gingrich stormed to an upset win in the South Carolina primary Saturday night.

GREENVILLE, S.C. — Republican presidential candidate Mitt Romney told supporters Saturday he's going to compete for every vote in every state after Newt Gingrich beat him in the South Carolina primary.

Romney criticized Gingrich without naming him, saying his opponent was joining in on a frontal assault on free enterprise when he castigated Romney's time at a private equity firm.

Romney also said his party couldn't choose someone who has never run a business or has never run a state.

It was a preview of the next week as the race turns to Florida, with the stakes even higher than they were in South Carolina.