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Simplifying 3(1 + -1x) = -2(1 + 1x) (1 * 3 + -1x * 3) = -2(1 + 1x) (3 + -3x) = -2(1 + 1x) 3 + -3x = (1 * -2 + 1x * -2) 3 + -3x = (-2 + -2x) Solving 3 + -3x = -2 + -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. 3 + -3x + 2x = -2 + -2x + 2x Combine like terms: -3x + 2x = -1x 3 + -1x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 3 + -1x = -2 + 0 3 + -1x = -2 Add '-3' to each side of the equation. 3 + -3 + -1x = -2 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = -2 + -3 -1x = -2 + -3 Combine like terms: -2 + -3 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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