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Mr. Obama countered with a TV spot focused on its claims that Mr. Romney outsourced jobs to China while working in the private sector. His campaign also released a new Web video Saturday in which Obama Deputy Campaign Manager Stephanie Cutter said Mr. Romney holds investments in Chinese companies.

The maneuvering came as a new national survey by the New York Times and CBS News found that Mr. Romney has lost his long-standing edge on the question of who voters view as most likely to restore the economy and create jobs. Despite that, the poll found the race narrowly divided.

Mr. Romney’s shift to China also indicated a need to shore up support among the working-class voters he needs to turn out in big numbers come November. Mr. Obama’s quick counter underscored the importance of holding onto his recent gains in manufacturing-heavy Ohio.

Obama has campaign rallies planned Monday in Cincinnati and Columbus. The president is to raise campaign cash in New York on Tuesday, followed by events in Florida on Thursday, Virginia on Friday and Wisconsin on Saturday — all states that Mr. Obama carried in the 2008 election. Mr. Obama was making his first trip to Wisconsin in months and his most pronounced pitch to voters there since Mr. Romney added Wisconsin Rep. Paul Ryan to the ticket. Wisconsin has not voted for a Republican presidential candidate since President Ronald Reagan in 1984 and is considered one of Mr. Romney’s most enticing electoral targets.

Mr. Romney’s itinerary this week included fundraising stops in the Los Angeles area Monday. In addition to his address to the United States Hispanic Chamber of Commerce, he also is reaching out to Latino voters in an interview with Spanish-language television network Telemundo. The network interviewed Mr. Obama last week.

Mr. Romney also is expected to hold fundraising events in Utah and Texas before heading to Florida for fundraisers later in the week.

Associated Press writer Ken Thomas in Los Angeles contributed to this report.