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Simplifying (x + -2) + 5 = 2(x + 1) + 2 Reorder the terms: (-2 + x) + 5 = 2(x + 1) + 2 Remove parenthesis around (-2 + x) -2 + x + 5 = 2(x + 1) + 2 Reorder the terms: -2 + 5 + x = 2(x + 1) + 2 Combine like terms: -2 + 5 = 3 3 + x = 2(x + 1) + 2 Reorder the terms: 3 + x = 2(1 + x) + 2 3 + x = (1 * 2 + x * 2) + 2 3 + x = (2 + 2x) + 2 Reorder the terms: 3 + x = 2 + 2 + 2x Combine like terms: 2 + 2 = 4 3 + x = 4 + 2x Solving 3 + x = 4 + 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 = 4 + 2x + -2x Combine like terms: x + -2x = -1x 3 + -1x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + -1x = 4 + 0 3 + -1x = 4 Add '-3' to each side of the equation. 3 + -3 + -1x = 4 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 4 + -3 -1x = 4 + -3 Combine like terms: 4 + -3 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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