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