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Simplifying -8(2x + -9) = -5(1 + x) Reorder the terms: -8(-9 + 2x) = -5(1 + x) (-9 * -8 + 2x * -8) = -5(1 + x) (72 + -16x) = -5(1 + x) 72 + -16x = (1 * -5 + x * -5) 72 + -16x = (-5 + -5x) Solving 72 + -16x = -5 + -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. 72 + -16x + 5x = -5 + -5x + 5x Combine like terms: -16x + 5x = -11x 72 + -11x = -5 + -5x + 5x Combine like terms: -5x + 5x = 0 72 + -11x = -5 + 0 72 + -11x = -5 Add '-72' to each side of the equation. 72 + -72 + -11x = -5 + -72 Combine like terms: 72 + -72 = 0 0 + -11x = -5 + -72 -11x = -5 + -72 Combine like terms: -5 + -72 = -77 -11x = -77 Divide each side by '-11'. x = 7 Simplifying x = 7
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