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Simplifying x + 1(x + 1) = 0 Reorder the terms: x + 1(1 + x) = 0 x + (1 * 1 + x * 1) = 0 x + (1 + 1x) = 0 Reorder the terms: 1 + x + 1x = 0 Combine like terms: x + 1x = 2x 1 + 2x = 0 Solving 1 + 2x = 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 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5
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