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Simplifying 5(10x + 100) = 900 Reorder the terms: 5(100 + 10x) = 900 (100 * 5 + 10x * 5) = 900 (500 + 50x) = 900 Solving 500 + 50x = 900 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-500' to each side of the equation. 500 + -500 + 50x = 900 + -500 Combine like terms: 500 + -500 = 0 0 + 50x = 900 + -500 50x = 900 + -500 Combine like terms: 900 + -500 = 400 50x = 400 Divide each side by '50'. x = 8 Simplifying x = 8
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