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Simplifying 0.50x + 0.05(10 + -1x) = 0.10(41) 0.50x + (10 * 0.05 + -1x * 0.05) = 0.10(41) 0.50x + (0.5 + -0.05x) = 0.10(41) Reorder the terms: 0.5 + 0.50x + -0.05x = 0.10(41) Combine like terms: 0.50x + -0.05x = 0.45x 0.5 + 0.45x = 0.10(41) Multiply 0.10 * 41 0.5 + 0.45x = 4.1 Solving 0.5 + 0.45x = 4.1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + 0.45x = 4.1 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.45x = 4.1 + -0.5 0.45x = 4.1 + -0.5 Combine like terms: 4.1 + -0.5 = 3.6 0.45x = 3.6 Divide each side by '0.45'. x = 8 Simplifying x = 8
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