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Simplifying 0.05x + 0.1(200 + -1x) = 0.450x 0.05x + (200 * 0.1 + -1x * 0.1) = 0.450x 0.05x + (20 + -0.1x) = 0.450x Reorder the terms: 20 + 0.05x + -0.1x = 0.450x Combine like terms: 0.05x + -0.1x = -0.05x 20 + -0.05x = 0.450x Solving 20 + -0.05x = 0.450x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.450x' to each side of the equation. 20 + -0.05x + -0.450x = 0.450x + -0.450x Combine like terms: -0.05x + -0.450x = -0.5x 20 + -0.5x = 0.450x + -0.450x Combine like terms: 0.450x + -0.450x = 0.000 20 + -0.5x = 0.000 Add '-20' to each side of the equation. 20 + -20 + -0.5x = 0.000 + -20 Combine like terms: 20 + -20 = 0 0 + -0.5x = 0.000 + -20 -0.5x = 0.000 + -20 Combine like terms: 0.000 + -20 = -20 -0.5x = -20 Divide each side by '-0.5'. x = 40 Simplifying x = 40
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