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Simplifying -4(x + -9) = -5(x + 7) Reorder the terms: -4(-9 + x) = -5(x + 7) (-9 * -4 + x * -4) = -5(x + 7) (36 + -4x) = -5(x + 7) Reorder the terms: 36 + -4x = -5(7 + x) 36 + -4x = (7 * -5 + x * -5) 36 + -4x = (-35 + -5x) Solving 36 + -4x = -35 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 36 + -4x + 5x = -35 + -5x + 5x Combine like terms: -4x + 5x = 1x 36 + 1x = -35 + -5x + 5x Combine like terms: -5x + 5x = 0 36 + 1x = -35 + 0 36 + 1x = -35 Add '-36' to each side of the equation. 36 + -36 + 1x = -35 + -36 Combine like terms: 36 + -36 = 0 0 + 1x = -35 + -36 1x = -35 + -36 Combine like terms: -35 + -36 = -71 1x = -71 Divide each side by '1'. x = -71 Simplifying x = -71
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