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Simplifying -1(2x + -4) + 3(x + -1) = 2(x + 4) + x Reorder the terms: -1(-4 + 2x) + 3(x + -1) = 2(x + 4) + x (-4 * -1 + 2x * -1) + 3(x + -1) = 2(x + 4) + x (4 + -2x) + 3(x + -1) = 2(x + 4) + x Reorder the terms: 4 + -2x + 3(-1 + x) = 2(x + 4) + x 4 + -2x + (-1 * 3 + x * 3) = 2(x + 4) + x 4 + -2x + (-3 + 3x) = 2(x + 4) + x Reorder the terms: 4 + -3 + -2x + 3x = 2(x + 4) + x Combine like terms: 4 + -3 = 1 1 + -2x + 3x = 2(x + 4) + x Combine like terms: -2x + 3x = 1x 1 + 1x = 2(x + 4) + x Reorder the terms: 1 + 1x = 2(4 + x) + x 1 + 1x = (4 * 2 + x * 2) + x 1 + 1x = (8 + 2x) + x Combine like terms: 2x + x = 3x 1 + 1x = 8 + 3x Solving 1 + 1x = 8 + 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 + 1x + -3x = 8 + 3x + -3x Combine like terms: 1x + -3x = -2x 1 + -2x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + -2x = 8 + 0 1 + -2x = 8 Add '-1' to each side of the equation. 1 + -1 + -2x = 8 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 8 + -1 -2x = 8 + -1 Combine like terms: 8 + -1 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5
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