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Simplifying 4(x + -2) + -2x = 3x + -1(x + -1) + 3x Reorder the terms: 4(-2 + x) + -2x = 3x + -1(x + -1) + 3x (-2 * 4 + x * 4) + -2x = 3x + -1(x + -1) + 3x (-8 + 4x) + -2x = 3x + -1(x + -1) + 3x Combine like terms: 4x + -2x = 2x -8 + 2x = 3x + -1(x + -1) + 3x Reorder the terms: -8 + 2x = 3x + -1(-1 + x) + 3x -8 + 2x = 3x + (-1 * -1 + x * -1) + 3x -8 + 2x = 3x + (1 + -1x) + 3x Reorder the terms: -8 + 2x = 1 + 3x + -1x + 3x Combine like terms: 3x + -1x = 2x -8 + 2x = 1 + 2x + 3x Combine like terms: 2x + 3x = 5x -8 + 2x = 1 + 5x Solving -8 + 2x = 1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -8 + 2x + -5x = 1 + 5x + -5x Combine like terms: 2x + -5x = -3x -8 + -3x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + -3x = 1 + 0 -8 + -3x = 1 Add '8' to each side of the equation. -8 + 8 + -3x = 1 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = 1 + 8 -3x = 1 + 8 Combine like terms: 1 + 8 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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