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Simplifying -5(x + -1) = 2(x + 8) Reorder the terms: -5(-1 + x) = 2(x + 8) (-1 * -5 + x * -5) = 2(x + 8) (5 + -5x) = 2(x + 8) Reorder the terms: 5 + -5x = 2(8 + x) 5 + -5x = (8 * 2 + x * 2) 5 + -5x = (16 + 2x) Solving 5 + -5x = 16 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + -5x + -2x = 16 + 2x + -2x Combine like terms: -5x + -2x = -7x 5 + -7x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + -7x = 16 + 0 5 + -7x = 16 Add '-5' to each side of the equation. 5 + -5 + -7x = 16 + -5 Combine like terms: 5 + -5 = 0 0 + -7x = 16 + -5 -7x = 16 + -5 Combine like terms: 16 + -5 = 11 -7x = 11 Divide each side by '-7'. x = -1.571428571 Simplifying x = -1.571428571
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