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