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Simplifying 0.05x + 0.20(100) = 0.1(100 + x) Multiply 0.20 * 100 0.05x + 20 = 0.1(100 + x) Reorder the terms: 20 + 0.05x = 0.1(100 + x) 20 + 0.05x = (100 * 0.1 + x * 0.1) 20 + 0.05x = (10 + 0.1x) Solving 20 + 0.05x = 10 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. 20 + 0.05x + -0.1x = 10 + 0.1x + -0.1x Combine like terms: 0.05x + -0.1x = -0.05x 20 + -0.05x = 10 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 20 + -0.05x = 10 + 0.0 20 + -0.05x = 10 Add '-20' to each side of the equation. 20 + -20 + -0.05x = 10 + -20 Combine like terms: 20 + -20 = 0 0 + -0.05x = 10 + -20 -0.05x = 10 + -20 Combine like terms: 10 + -20 = -10 -0.05x = -10 Divide each side by '-0.05'. x = 200 Simplifying x = 200
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