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Simplifying -1(-1x + 1) + -7 = 2 + -1(5 + -2x) Reorder the terms: -1(1 + -1x) + -7 = 2 + -1(5 + -2x) (1 * -1 + -1x * -1) + -7 = 2 + -1(5 + -2x) (-1 + 1x) + -7 = 2 + -1(5 + -2x) Reorder the terms: -1 + -7 + 1x = 2 + -1(5 + -2x) Combine like terms: -1 + -7 = -8 -8 + 1x = 2 + -1(5 + -2x) -8 + 1x = 2 + (5 * -1 + -2x * -1) -8 + 1x = 2 + (-5 + 2x) Combine like terms: 2 + -5 = -3 -8 + 1x = -3 + 2x Solving -8 + 1x = -3 + 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. -8 + 1x + -2x = -3 + 2x + -2x Combine like terms: 1x + -2x = -1x -8 + -1x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + -1x = -3 + 0 -8 + -1x = -3 Add '8' to each side of the equation. -8 + 8 + -1x = -3 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = -3 + 8 -1x = -3 + 8 Combine like terms: -3 + 8 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5
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