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Simplifying -3(x + -5) = 2(4x + -9) Reorder the terms: -3(-5 + x) = 2(4x + -9) (-5 * -3 + x * -3) = 2(4x + -9) (15 + -3x) = 2(4x + -9) Reorder the terms: 15 + -3x = 2(-9 + 4x) 15 + -3x = (-9 * 2 + 4x * 2) 15 + -3x = (-18 + 8x) Solving 15 + -3x = -18 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 15 + -3x + -8x = -18 + 8x + -8x Combine like terms: -3x + -8x = -11x 15 + -11x = -18 + 8x + -8x Combine like terms: 8x + -8x = 0 15 + -11x = -18 + 0 15 + -11x = -18 Add '-15' to each side of the equation. 15 + -15 + -11x = -18 + -15 Combine like terms: 15 + -15 = 0 0 + -11x = -18 + -15 -11x = -18 + -15 Combine like terms: -18 + -15 = -33 -11x = -33 Divide each side by '-11'. x = 3 Simplifying x = 3
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