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Simplifying 0.55x + 0.05(18 + -1x) = 0.10(59) 0.55x + (18 * 0.05 + -1x * 0.05) = 0.10(59) 0.55x + (0.9 + -0.05x) = 0.10(59) Reorder the terms: 0.9 + 0.55x + -0.05x = 0.10(59) Combine like terms: 0.55x + -0.05x = 0.5x 0.9 + 0.5x = 0.10(59) Multiply 0.10 * 59 0.9 + 0.5x = 5.9 Solving 0.9 + 0.5x = 5.9 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 + 0.5x = 5.9 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 0.5x = 5.9 + -0.9 0.5x = 5.9 + -0.9 Combine like terms: 5.9 + -0.9 = 5 0.5x = 5 Divide each side by '0.5'. x = 10 Simplifying x = 10
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