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Simplifying (x + 1) + -1(-2x + -5) = x Reorder the terms: (1 + x) + -1(-2x + -5) = x Remove parenthesis around (1 + x) 1 + x + -1(-2x + -5) = x Reorder the terms: 1 + x + -1(-5 + -2x) = x 1 + x + (-5 * -1 + -2x * -1) = x 1 + x + (5 + 2x) = x Reorder the terms: 1 + 5 + x + 2x = x Combine like terms: 1 + 5 = 6 6 + x + 2x = x Combine like terms: x + 2x = 3x 6 + 3x = x Solving 6 + 3x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 6 + 3x + -1x = x + -1x Combine like terms: 3x + -1x = 2x 6 + 2x = x + -1x Combine like terms: x + -1x = 0 6 + 2x = 0 Add '-6' to each side of the equation. 6 + -6 + 2x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 0 + -6 2x = 0 + -6 Combine like terms: 0 + -6 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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