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Simplifying 0.05x + 0.10(200 + -1x) = 0.45x 0.05x + (200 * 0.10 + -1x * 0.10) = 0.45x 0.05x + (20 + -0.1x) = 0.45x Reorder the terms: 20 + 0.05x + -0.1x = 0.45x Combine like terms: 0.05x + -0.1x = -0.05x 20 + -0.05x = 0.45x Solving 20 + -0.05x = 0.45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.45x' to each side of the equation. 20 + -0.05x + -0.45x = 0.45x + -0.45x Combine like terms: -0.05x + -0.45x = -0.5x 20 + -0.5x = 0.45x + -0.45x Combine like terms: 0.45x + -0.45x = 0.00 20 + -0.5x = 0.00 Add '-20' to each side of the equation. 20 + -20 + -0.5x = 0.00 + -20 Combine like terms: 20 + -20 = 0 0 + -0.5x = 0.00 + -20 -0.5x = 0.00 + -20 Combine like terms: 0.00 + -20 = -20 -0.5x = -20 Divide each side by '-0.5'. x = 40 Simplifying x = 40
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