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