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Simplifying -5(x + -1) = 10(x + 8) Reorder the terms: -5(-1 + x) = 10(x + 8) (-1 * -5 + x * -5) = 10(x + 8) (5 + -5x) = 10(x + 8) Reorder the terms: 5 + -5x = 10(8 + x) 5 + -5x = (8 * 10 + x * 10) 5 + -5x = (80 + 10x) Solving 5 + -5x = 80 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 5 + -5x + -10x = 80 + 10x + -10x Combine like terms: -5x + -10x = -15x 5 + -15x = 80 + 10x + -10x Combine like terms: 10x + -10x = 0 5 + -15x = 80 + 0 5 + -15x = 80 Add '-5' to each side of the equation. 5 + -5 + -15x = 80 + -5 Combine like terms: 5 + -5 = 0 0 + -15x = 80 + -5 -15x = 80 + -5 Combine like terms: 80 + -5 = 75 -15x = 75 Divide each side by '-15'. x = -5 Simplifying x = -5
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