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