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