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Simplifying 1 + 2(2x + -1) + 2 = -1(-2x + -1x) Reorder the terms: 1 + 2(-1 + 2x) + 2 = -1(-2x + -1x) 1 + (-1 * 2 + 2x * 2) + 2 = -1(-2x + -1x) 1 + (-2 + 4x) + 2 = -1(-2x + -1x) Reorder the terms: 1 + -2 + 2 + 4x = -1(-2x + -1x) Combine like terms: 1 + -2 = -1 -1 + 2 + 4x = -1(-2x + -1x) Combine like terms: -1 + 2 = 1 1 + 4x = -1(-2x + -1x) Combine like terms: -2x + -1x = -3x 1 + 4x = -1(-3x) Remove parenthesis around (-3x) 1 + 4x = -1 * -3x Multiply -1 * -3 1 + 4x = 3x Solving 1 + 4x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 1 + 4x + -3x = 3x + -3x Combine like terms: 4x + -3x = 1x 1 + 1x = 3x + -3x Combine like terms: 3x + -3x = 0 1 + 1x = 0 Add '-1' to each side of the equation. 1 + -1 + 1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 0 + -1 1x = 0 + -1 Combine like terms: 0 + -1 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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