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Simplifying 9(x + -3) = -12(2x + 5) Reorder the terms: 9(-3 + x) = -12(2x + 5) (-3 * 9 + x * 9) = -12(2x + 5) (-27 + 9x) = -12(2x + 5) Reorder the terms: -27 + 9x = -12(5 + 2x) -27 + 9x = (5 * -12 + 2x * -12) -27 + 9x = (-60 + -24x) Solving -27 + 9x = -60 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -27 + 9x + 24x = -60 + -24x + 24x Combine like terms: 9x + 24x = 33x -27 + 33x = -60 + -24x + 24x Combine like terms: -24x + 24x = 0 -27 + 33x = -60 + 0 -27 + 33x = -60 Add '27' to each side of the equation. -27 + 27 + 33x = -60 + 27 Combine like terms: -27 + 27 = 0 0 + 33x = -60 + 27 33x = -60 + 27 Combine like terms: -60 + 27 = -33 33x = -33 Divide each side by '33'. x = -1 Simplifying x = -1
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