"Now the focus turns to spending" and overhauling the tax code, Boehner said in a written statement after the vote. He said the GOP will fight for "significant spending cuts and reforms to the entitlement programs that are driving our country deeper and deeper into debt," a reference to costly benefit programs like Medicare, Social Security and Medicaid.Spending cuts are "going to be a component of every single battle we have" in the new Congress, conservative GOP Rep. Marsha Blackburn of Tennessee told CNN on Wednesday. Obama, in his White House remarks, said that while he was open to compromise, he would demand deficit-cutting savings from added revenue on the well-off, not just spending cuts. He also pointedly said he would "not have another debate with this Congress" over extending the federal borrowing limit. "If Congress refuses to give the United States government the ability to pay these bills on time, the consequences for the entire global economy would be catastrophic â¿¿ far worse than the impact of a fiscal cliff," he said. Though its focus was on taxes, the measure approved Tuesday would prevent a potential doubling of milk prices and prevent a $900 salary increase for members of Congress in March. Its extension of jobless benefits would help 2 million people out of work at least six months, and it would prevent a 27 percent cut in reimbursements doctors get for treating Medicare patients. Weighing in with criticism of the compromise were the chief authors of an influential bipartisan deficit-cutting proposal, former GOP Sen. Alan Simpson and Democrat Erskine Bowles, a former White House chief of staff under President Bill Clinton. They called the measure "truly a missed opportunity to do something big to reduce our long term fiscal problems." ___ AP reporters David Espo, Charles Babington, Andrew Taylor and Larry Margasak contributed to this report.