Given the function f(x) = –5|x + 1| + 3, for what values of x is f(x) = –12?

Set the function equal to −12: −5|x + 1| + 3 = −12. Subtract 3 and divide by −5 to get |x + 1| = 3, so x + 1 = 3 or x + 1 = −3. Thus x = 2 or x = −4, which is choice C.

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