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