What is a correct first step in solving the inequality negative 4 times open paren 3 minus 5 x close paren is greater than or equal to negative 6 x plus 9 ?

Distribute −4 to both terms inside the parentheses: (−4)(3) = −12 and (−4)(−5x) = +20x. The inequality sign stays ≥ because no operation has been performed on both sides that would reverse it. So the first step is −12 + 20x ≥ −6x + 9, which is choice A.

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