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Simplifying 5(x + 1) + 5(x + -1) = 30 Reorder the terms: 5(1 + x) + 5(x + -1) = 30 (1 * 5 + x * 5) + 5(x + -1) = 30 (5 + 5x) + 5(x + -1) = 30 Reorder the terms: 5 + 5x + 5(-1 + x) = 30 5 + 5x + (-1 * 5 + x * 5) = 30 5 + 5x + (-5 + 5x) = 30 Reorder the terms: 5 + -5 + 5x + 5x = 30 Combine like terms: 5 + -5 = 0 0 + 5x + 5x = 30 5x + 5x = 30 Combine like terms: 5x + 5x = 10x 10x = 30 Solving 10x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '10'. x = 3 Simplifying x = 3
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