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$P$ and $Q$ are two distinct, non-constant polynomial functions such that $(P\circ Q)(x) = P(x)Q(x)$ and $P(1) = P(-1) = 2018.$

Find $(Q\circ P)(-1).$

Note: Function composition $(P\circ Q)(x)$ is sometimes denoted as $P\big(Q(x)\big).$

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