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Simplifying -1(x + -5) + 2x + -2 = 8 Reorder the terms: -1(-5 + x) + 2x + -2 = 8 (-5 * -1 + x * -1) + 2x + -2 = 8 (5 + -1x) + 2x + -2 = 8 Reorder the terms: 5 + -2 + -1x + 2x = 8 Combine like terms: 5 + -2 = 3 3 + -1x + 2x = 8 Combine like terms: -1x + 2x = 1x 3 + 1x = 8 Solving 3 + 1x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 1x = 8 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 8 + -3 1x = 8 + -3 Combine like terms: 8 + -3 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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