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Simplifying 10(x + 1) + 5(x + -1) = 0 Reorder the terms: 10(1 + x) + 5(x + -1) = 0 (1 * 10 + x * 10) + 5(x + -1) = 0 (10 + 10x) + 5(x + -1) = 0 Reorder the terms: 10 + 10x + 5(-1 + x) = 0 10 + 10x + (-1 * 5 + x * 5) = 0 10 + 10x + (-5 + 5x) = 0 Reorder the terms: 10 + -5 + 10x + 5x = 0 Combine like terms: 10 + -5 = 5 5 + 10x + 5x = 0 Combine like terms: 10x + 5x = 15x 5 + 15x = 0 Solving 5 + 15x = 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 + 15x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 15x = 0 + -5 15x = 0 + -5 Combine like terms: 0 + -5 = -5 15x = -5 Divide each side by '15'. x = -0.3333333333 Simplifying x = -0.3333333333
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