What is a correct first step in solving the inequality –4(3 – 5x)≥ –6x + 9?

Distribute –4 to both terms inside the parentheses: (–4)(3) = –12 and (–4)(–5x) = +20x. The inequality sign stays ≥ because we have not multiplied or divided both sides by a negative number. The correct first step is –12 + 20x ≥ –6x + 9, choice D.

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