The Boston Red Sox have lost one of their top free agents to another American League team.The Detroit Tigers announced Tuesday that they signed left-handed pitcher Eduardo Rodriguez to a five-year deal.The Tigers did not disclose the terms of the contract, but ESPN's Jeff Passan reported Monday that the deal is worth $77 million with an earnable $3 million in incentives.According to MLB Network Insider Jon Heyman, Rodriguez also has an opt-out clause after the second year of the deal.The Associated Press reports that the contract between Rodriguez and the Tigers was subject to a successful physical because the deal was contingent on the medical tests.E-Rod hit free agency after rejecting an $18.4 million qualifying offer from the Red Sox, which is more than the $15.4 in average annual value he would receive in his contract with the Tigers."After a seven-year with the organization that give me the opportunity that changed me and my family's life after all the ups and downs, I wanna say thank you Red Sox for believing in me. Thank you for all the good memories together and especially that World Series ring," Rodriguez wrote in an Instagram post. "To all my teammates that I have (had) the opportunity to play in the same uniform (with), thank you all. And to the fans in Boston, thank you so much for all the support all these years. You always will have a part of my heart. From me and my family, thank you so much."Because Rodriguez rejected the qualifying offer, Boston will receive a compensatory draft pick after Competitive Balance Round B in 2022 because the team does not receive revenue sharing, and it did not exceed the luxury-tax threshold this past season.The Red Sox initially acquired Rodriguez, a Venezuela native, in a trade with the Baltimore Orioles on July 31, 2014, and made his major league debut with Boston in May 2015.In six seasons with the Sox, Rodriguez posted a 64-39 record with a 4.16 earned run average and 892 strikeouts in 856 2/3 innings pitched across 159 regular-season games, including 153 starts.In 2018, Rodriguez helped the Red Sox win the World Series and had a career year the following season. He finished 2019 with a 19-6 record, 3.81 ERA and 213 strikeouts in 203 1/3 innings pitched over 34 starts, all career highs.The 28-year-old, however, missed the entire pandemic-shortened 2020 season after he developed a heart issue, myocarditis, after a contracting COVID-19.This past season, Rodriguez led the Red Sox with 13 wins and finished with a 13-8 record. He ranked second on the team with 185 strikeouts and 157 2/3 innings pitched and had an earned run average of 4.74.He made three starts in the 2021 postseason and finished with a 1-1 record, 4.97 ERA and 14 strikeouts in 12 2/3 innings pitched.