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Simplifying -2(x + -2) = -3(x + 1) Reorder the terms: -2(-2 + x) = -3(x + 1) (-2 * -2 + x * -2) = -3(x + 1) (4 + -2x) = -3(x + 1) Reorder the terms: 4 + -2x = -3(1 + x) 4 + -2x = (1 * -3 + x * -3) 4 + -2x = (-3 + -3x) Solving 4 + -2x = -3 + -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. 4 + -2x + 3x = -3 + -3x + 3x Combine like terms: -2x + 3x = 1x 4 + 1x = -3 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + 1x = -3 + 0 4 + 1x = -3 Add '-4' to each side of the equation. 4 + -4 + 1x = -3 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = -3 + -4 1x = -3 + -4 Combine like terms: -3 + -4 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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