Answer
$41472.$
Work Step by Step
According to the Binomial Theorem, the term containing $x^j$ in the expansion of $(ax+b)^n$ is given by: ${n\choose n-j}a^jb^{n-j}x^j.$ Hence here for $x^7$: ${9\choose 9-7}2^7(3)^{9-7}=41472.$
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