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