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Simplifying 0.05x + 0.20 * 300 = 0.10(x + 300) Multiply 0.20 * 300 0.05x + 60 = 0.10(x + 300) Reorder the terms: 60 + 0.05x = 0.10(x + 300) Reorder the terms: 60 + 0.05x = 0.10(300 + x) 60 + 0.05x = (300 * 0.10 + x * 0.10) 60 + 0.05x = (30 + 0.10x) Solving 60 + 0.05x = 30 + 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 = 30 + 0.10x + -0.10x Combine like terms: 0.05x + -0.10x = -0.05x 60 + -0.05x = 30 + 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 60 + -0.05x = 30 + 0.00 60 + -0.05x = 30 Add '-60' to each side of the equation. 60 + -60 + -0.05x = 30 + -60 Combine like terms: 60 + -60 = 0 0 + -0.05x = 30 + -60 -0.05x = 30 + -60 Combine like terms: 30 + -60 = -30 -0.05x = -30 Divide each side by '-0.05'. x = 600 Simplifying x = 600
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