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