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Simplifying 1 + -2(2x + -1) = 4 + -1(x + -2) Reorder the terms: 1 + -2(-1 + 2x) = 4 + -1(x + -2) 1 + (-1 * -2 + 2x * -2) = 4 + -1(x + -2) 1 + (2 + -4x) = 4 + -1(x + -2) Combine like terms: 1 + 2 = 3 3 + -4x = 4 + -1(x + -2) Reorder the terms: 3 + -4x = 4 + -1(-2 + x) 3 + -4x = 4 + (-2 * -1 + x * -1) 3 + -4x = 4 + (2 + -1x) Combine like terms: 4 + 2 = 6 3 + -4x = 6 + -1x Solving 3 + -4x = 6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 3 + -4x + x = 6 + -1x + x Combine like terms: -4x + x = -3x 3 + -3x = 6 + -1x + x Combine like terms: -1x + x = 0 3 + -3x = 6 + 0 3 + -3x = 6 Add '-3' to each side of the equation. 3 + -3 + -3x = 6 + -3 Combine like terms: 3 + -3 = 0 0 + -3x = 6 + -3 -3x = 6 + -3 Combine like terms: 6 + -3 = 3 -3x = 3 Divide each side by '-3'. x = -1 Simplifying x = -1
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