Tā yī jiàn shuāng diāo, jì jiāo le péngyou yòu tán chéng le shēngyi.
He achieved two things at once — he made a friend and closed the deal.
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From 《北史·长孙晟传》: Changsun Sheng saw two eagles fighting over meat, was handed two arrows, but felled both with a single shot. The literal image is sharper than the English 'two birds with one stone.'