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Simplifying -1(x + -1) = 2 + (2x + 5) Reorder the terms: -1(-1 + x) = 2 + (2x + 5) (-1 * -1 + x * -1) = 2 + (2x + 5) (1 + -1x) = 2 + (2x + 5) Reorder the terms: 1 + -1x = 2 + (5 + 2x) Remove parenthesis around (5 + 2x) 1 + -1x = 2 + 5 + 2x Combine like terms: 2 + 5 = 7 1 + -1x = 7 + 2x Solving 1 + -1x = 7 + 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. 1 + -1x + -2x = 7 + 2x + -2x Combine like terms: -1x + -2x = -3x 1 + -3x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + -3x = 7 + 0 1 + -3x = 7 Add '-1' to each side of the equation. 1 + -1 + -3x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 7 + -1 -3x = 7 + -1 Combine like terms: 7 + -1 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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