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Simplifying 0.05x + 0.10(200 + -1x) = 0.45 + x 0.05x + (200 * 0.10 + -1x * 0.10) = 0.45 + x 0.05x + (20 + -0.1x) = 0.45 + x Reorder the terms: 20 + 0.05x + -0.1x = 0.45 + x Combine like terms: 0.05x + -0.1x = -0.05x 20 + -0.05x = 0.45 + x Solving 20 + -0.05x = 0.45 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 20 + -0.05x + -1x = 0.45 + x + -1x Combine like terms: -0.05x + -1x = -1.05x 20 + -1.05x = 0.45 + x + -1x Combine like terms: x + -1x = 0 20 + -1.05x = 0.45 + 0 20 + -1.05x = 0.45 Add '-20' to each side of the equation. 20 + -20 + -1.05x = 0.45 + -20 Combine like terms: 20 + -20 = 0 0 + -1.05x = 0.45 + -20 -1.05x = 0.45 + -20 Combine like terms: 0.45 + -20 = -19.55 -1.05x = -19.55 Divide each side by '-1.05'. x = 18.61904762 Simplifying x = 18.61904762
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