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