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Simplifying 2x + -4(x + -1) = 3(1 + -1x) Reorder the terms: 2x + -4(-1 + x) = 3(1 + -1x) 2x + (-1 * -4 + x * -4) = 3(1 + -1x) 2x + (4 + -4x) = 3(1 + -1x) Reorder the terms: 4 + 2x + -4x = 3(1 + -1x) Combine like terms: 2x + -4x = -2x 4 + -2x = 3(1 + -1x) 4 + -2x = (1 * 3 + -1x * 3) 4 + -2x = (3 + -3x) Solving 4 + -2x = 3 + -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. 4 + -2x + 3x = 3 + -3x + 3x Combine like terms: -2x + 3x = 1x 4 + 1x = 3 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + 1x = 3 + 0 4 + 1x = 3 Add '-4' to each side of the equation. 4 + -4 + 1x = 3 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 3 + -4 1x = 3 + -4 Combine like terms: 3 + -4 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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