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Simplifying x + -2(2 + -1x) = 3(x + -2) + -1x x + (2 * -2 + -1x * -2) = 3(x + -2) + -1x x + (-4 + 2x) = 3(x + -2) + -1x Reorder the terms: -4 + x + 2x = 3(x + -2) + -1x Combine like terms: x + 2x = 3x -4 + 3x = 3(x + -2) + -1x Reorder the terms: -4 + 3x = 3(-2 + x) + -1x -4 + 3x = (-2 * 3 + x * 3) + -1x -4 + 3x = (-6 + 3x) + -1x Combine like terms: 3x + -1x = 2x -4 + 3x = -6 + 2x Solving -4 + 3x = -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. -4 + 3x + -2x = -6 + 2x + -2x Combine like terms: 3x + -2x = 1x -4 + 1x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + 1x = -6 + 0 -4 + 1x = -6 Add '4' to each side of the equation. -4 + 4 + 1x = -6 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = -6 + 4 1x = -6 + 4 Combine like terms: -6 + 4 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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