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Simplifying -1(x + -5) = -5(x + -9) Reorder the terms: -1(-5 + x) = -5(x + -9) (-5 * -1 + x * -1) = -5(x + -9) (5 + -1x) = -5(x + -9) Reorder the terms: 5 + -1x = -5(-9 + x) 5 + -1x = (-9 * -5 + x * -5) 5 + -1x = (45 + -5x) Solving 5 + -1x = 45 + -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. 5 + -1x + 5x = 45 + -5x + 5x Combine like terms: -1x + 5x = 4x 5 + 4x = 45 + -5x + 5x Combine like terms: -5x + 5x = 0 5 + 4x = 45 + 0 5 + 4x = 45 Add '-5' to each side of the equation. 5 + -5 + 4x = 45 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 45 + -5 4x = 45 + -5 Combine like terms: 45 + -5 = 40 4x = 40 Divide each side by '4'. x = 10 Simplifying x = 10
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