What value of x is in the solution set of 3(x – 4) ≥ 5x + 2?

Distribute the 3: 3x − 12 ≥ 5x + 2. Subtract 3x and then subtract 2 to get −14 ≥ 2x, so x ≤ −7. Of the choices, only −10 is at most −7, so the answer is A, −10.

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