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