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