First, we need to distribute the exponent and the terms inside the parentheses:
$(-1)^{3n+2n^2}(2x+1)$
Now, let's distribute the exponent to each term inside the parentheses:
$(-1)^{3n+2n^2}(2x) + (-1)^{3n+2n^2}(1)$
Now, let's simplify the expression:
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