Given the function f(x) = 3|x – 2| + 6, for what values of x is f(x) = 18?

Set the function equal to 18: 3|x − 2| + 6 = 18. Subtract 6 and divide by 3 to get |x − 2| = 4, so x − 2 = 4 or x − 2 = −4. These give x = 6 and x = −2, matching choice C, x = −2 and x = 6.

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