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Simplifying 3(x + -5) = -12(2x + 9) Reorder the terms: 3(-5 + x) = -12(2x + 9) (-5 * 3 + x * 3) = -12(2x + 9) (-15 + 3x) = -12(2x + 9) Reorder the terms: -15 + 3x = -12(9 + 2x) -15 + 3x = (9 * -12 + 2x * -12) -15 + 3x = (-108 + -24x) Solving -15 + 3x = -108 + -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. -15 + 3x + 24x = -108 + -24x + 24x Combine like terms: 3x + 24x = 27x -15 + 27x = -108 + -24x + 24x Combine like terms: -24x + 24x = 0 -15 + 27x = -108 + 0 -15 + 27x = -108 Add '15' to each side of the equation. -15 + 15 + 27x = -108 + 15 Combine like terms: -15 + 15 = 0 0 + 27x = -108 + 15 27x = -108 + 15 Combine like terms: -108 + 15 = -93 27x = -93 Divide each side by '27'. x = -3.444444444 Simplifying x = -3.444444444
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