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Simplifying (x + -1) + -1(4 + -2x) = (3x + -2) + -1(x + -1) Reorder the terms: (-1 + x) + -1(4 + -2x) = (3x + -2) + -1(x + -1) Remove parenthesis around (-1 + x) -1 + x + -1(4 + -2x) = (3x + -2) + -1(x + -1) -1 + x + (4 * -1 + -2x * -1) = (3x + -2) + -1(x + -1) -1 + x + (-4 + 2x) = (3x + -2) + -1(x + -1) Reorder the terms: -1 + -4 + x + 2x = (3x + -2) + -1(x + -1) Combine like terms: -1 + -4 = -5 -5 + x + 2x = (3x + -2) + -1(x + -1) Combine like terms: x + 2x = 3x -5 + 3x = (3x + -2) + -1(x + -1) Reorder the terms: -5 + 3x = (-2 + 3x) + -1(x + -1) Remove parenthesis around (-2 + 3x) -5 + 3x = -2 + 3x + -1(x + -1) Reorder the terms: -5 + 3x = -2 + 3x + -1(-1 + x) -5 + 3x = -2 + 3x + (-1 * -1 + x * -1) -5 + 3x = -2 + 3x + (1 + -1x) Reorder the terms: -5 + 3x = -2 + 1 + 3x + -1x Combine like terms: -2 + 1 = -1 -5 + 3x = -1 + 3x + -1x Combine like terms: 3x + -1x = 2x -5 + 3x = -1 + 2x Solving -5 + 3x = -1 + 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. -5 + 3x + -2x = -1 + 2x + -2x Combine like terms: 3x + -2x = 1x -5 + 1x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + 1x = -1 + 0 -5 + 1x = -1 Add '5' to each side of the equation. -5 + 5 + 1x = -1 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = -1 + 5 1x = -1 + 5 Combine like terms: -1 + 5 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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