A clothing store is having a sale on shirts and trousers. Shirts are marked down by 20%, and trousers are marked down by 25%. If the original price of a shirt is $50 and the original price of a pair of trousers is $80, how much would it cost to buy 3 shirts and 2 pairs of trousers during the sale? Let's think step by step and output the final answer within \boxed{}.
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