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Simplifying -2(x + -1) = 5(x + 13) Reorder the terms: -2(-1 + x) = 5(x + 13) (-1 * -2 + x * -2) = 5(x + 13) (2 + -2x) = 5(x + 13) Reorder the terms: 2 + -2x = 5(13 + x) 2 + -2x = (13 * 5 + x * 5) 2 + -2x = (65 + 5x) Solving 2 + -2x = 65 + 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. 2 + -2x + -5x = 65 + 5x + -5x Combine like terms: -2x + -5x = -7x 2 + -7x = 65 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + -7x = 65 + 0 2 + -7x = 65 Add '-2' to each side of the equation. 2 + -2 + -7x = 65 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 65 + -2 -7x = 65 + -2 Combine like terms: 65 + -2 = 63 -7x = 63 Divide each side by '-7'. x = -9 Simplifying x = -9
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