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Simplifying 5(x + 2) + 5(x + -1) = 0 Reorder the terms: 5(2 + x) + 5(x + -1) = 0 (2 * 5 + x * 5) + 5(x + -1) = 0 (10 + 5x) + 5(x + -1) = 0 Reorder the terms: 10 + 5x + 5(-1 + x) = 0 10 + 5x + (-1 * 5 + x * 5) = 0 10 + 5x + (-5 + 5x) = 0 Reorder the terms: 10 + -5 + 5x + 5x = 0 Combine like terms: 10 + -5 = 5 5 + 5x + 5x = 0 Combine like terms: 5x + 5x = 10x 5 + 10x = 0 Solving 5 + 10x = 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 + 10x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 10x = 0 + -5 10x = 0 + -5 Combine like terms: 0 + -5 = -5 10x = -5 Divide each side by '10'. x = -0.5 Simplifying x = -0.5
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