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Simplifying 0.05x + 0.30(200) = 0.10(x + 200) Multiply 0.30 * 200 0.05x + 60 = 0.10(x + 200) Reorder the terms: 60 + 0.05x = 0.10(x + 200) Reorder the terms: 60 + 0.05x = 0.10(200 + x) 60 + 0.05x = (200 * 0.10 + x * 0.10) 60 + 0.05x = (20 + 0.10x) Solving 60 + 0.05x = 20 + 0.10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.10x' to each side of the equation. 60 + 0.05x + -0.10x = 20 + 0.10x + -0.10x Combine like terms: 0.05x + -0.10x = -0.05x 60 + -0.05x = 20 + 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 60 + -0.05x = 20 + 0.00 60 + -0.05x = 20 Add '-60' to each side of the equation. 60 + -60 + -0.05x = 20 + -60 Combine like terms: 60 + -60 = 0 0 + -0.05x = 20 + -60 -0.05x = 20 + -60 Combine like terms: 20 + -60 = -40 -0.05x = -40 Divide each side by '-0.05'. x = 800 Simplifying x = 800
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