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Simplifying 2(1 + -1x) + 3(x + 1) = 0 (1 * 2 + -1x * 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 = 5 5 + -2x + 3x = 0 Combine like terms: -2x + 3x = 1x 5 + 1x = 0 Solving 5 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 0 + -5 1x = 0 + -5 Combine like terms: 0 + -5 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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