Vice President JD Vance traveled to a crucial swing state on Wednesday to sell the Trump administration’s signature domestic policy legislation as a victory for working American families, despite concerns even among some Republicans over its cuts to the safety net in service of benefiting the rich.

In what amounted to an attempted brand relaunch of legislation that Democrats have framed as an attack on the middle class, Mr. Vance traveled to a machine shop in eastern Pennsylvania to spotlight provisions in the package that would cut taxes, preserve overtime pay and create $1,000 savings accounts for newborns.

Left unmentioned by Mr. Vance were the cuts to Medicaid and the nutritional assistance programs that many of Mr. Trump’s own supporters rely on.

“I think this will be transformational for the American people,” Mr. Vance said in front of signs that read “No tax on tips” and “America is back.” The vice president appealed to those in attendance to help the administration sell the package ahead of next year’s midterm elections, arguing that it would benefit Americans like those working in the manufacturing facility serving as his backdrop.

“We’re going to invest in American workers and American families every single day,” Mr. Vance added. “That’s my solemn promise to every single person in this room.”

Selling the bill is likely to be an uphill climb, particularly after Republicans provided Democrats a series of sound bites expressing concern over how Medicaid cuts would hurt their constituents. While polls show the bill is broadly unpopular, it is difficult to say how much it will influence voters in future elections. Still, six out of 10 Americans find the package unpopular, according to a recent CNN poll. Roughly 58 percent of Americans said Mr. Trump had gone too far in cutting federal programs.