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Simplifying 10(5x + 10) = 500 Reorder the terms: 10(10 + 5x) = 500 (10 * 10 + 5x * 10) = 500 (100 + 50x) = 500 Solving 100 + 50x = 500 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + 50x = 500 + -100 Combine like terms: 100 + -100 = 0 0 + 50x = 500 + -100 50x = 500 + -100 Combine like terms: 500 + -100 = 400 50x = 400 Divide each side by '50'. x = 8 Simplifying x = 8
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