Suppose that $f(x)$ is a function such that $f(xy) + x = xf(y) + f(x)$ for all real numbers $x$ and $y$. If $f(-1) = 5$ then compute $f(-1001)$.
Suppose that f(x) is a function such that f(xy) + x = xf(y) + f(x) for all real numbers x and y. If f(-1) = 5 then compute f(-1001).
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