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Simplifying 0.50x + 0.05(18 + -1x) = 0.10(90) 0.50x + (18 * 0.05 + -1x * 0.05) = 0.10(90) 0.50x + (0.9 + -0.05x) = 0.10(90) Reorder the terms: 0.9 + 0.50x + -0.05x = 0.10(90) Combine like terms: 0.50x + -0.05x = 0.45x 0.9 + 0.45x = 0.10(90) Multiply 0.10 * 90 0.9 + 0.45x = 9 Solving 0.9 + 0.45x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9' to each side of the equation. 0.9 + -0.9 + 0.45x = 9 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 0.45x = 9 + -0.9 0.45x = 9 + -0.9 Combine like terms: 9 + -0.9 = 8.1 0.45x = 8.1 Divide each side by '0.45'. x = 18 Simplifying x = 18
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