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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 = -7 -7 + -1x + 2x = 8 Combine like terms: -1x + 2x = 1x -7 + 1x = 8 Solving -7 + 1x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. 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 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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