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In 199 career games, all with the Diamondbacks since 2003, Webb is 87-62 with a 3.27 ERA, 1,065 strikeouts and 435 walks.

Webb, who wore No. 17 in the past, is switching to No. 33 to honor former Kentucky teammate Jon Hooker, who was killed in a 2006 plane crash the day after getting married.

Rhodes appeared in 69 games for Cincinnati, his most since 2001, despite being bothered at times by a left foot problem that didn’t keep him from pitching. He had a 2.29 ERA in 55 innings with 50 strikeouts and 18 walks.

“It feels great to be a Ranger,” said Rhodes, who was born in Waco, about 100 miles from Rangers Ballpark, though he currently lives in Baltimore and spoke by phone. “It makes me feel good that I can play in front of my family and play in the state I grew up in. … I’m feeling good and ready to go.”

The left-hander has an 84-66 record with 32 saves and a 4.06 ERA in 849 career games for Baltimore (1991-99), Seattle (2000-03, 2008), Oakland (2004), Cleveland (2005), Philadelphia (2006), Florida (2008) and Cincinnati (2009-10). He missed the 2007 season after Tommy John surgery.

Lee signed a $120 million, five-year deal to return to the Philadelphia Phillies, who had traded him at the end of the 2009 season to Seattle. The Rangers had offered the ace left-hander $138 million over six seasons with the possibility of a seventh season.

To make room on the 40-man roster, catcher Max Ramirez and left-handed reliever Clay Rapada were designated for assignment. The Rangers have 10 days to trade, release or outright Ramirez and Rapada to the minor leagues.