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