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Simplifying -2(-1 + -1x) = -3(2 + -1x) (-1 * -2 + -1x * -2) = -3(2 + -1x) (2 + 2x) = -3(2 + -1x) 2 + 2x = (2 * -3 + -1x * -3) 2 + 2x = (-6 + 3x) Solving 2 + 2x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 2 + 2x + -3x = -6 + 3x + -3x Combine like terms: 2x + -3x = -1x 2 + -1x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + -1x = -6 + 0 2 + -1x = -6 Add '-2' to each side of the equation. 2 + -2 + -1x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = -6 + -2 -1x = -6 + -2 Combine like terms: -6 + -2 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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