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Simplifying 0.10 + 0.60(500) = 0.20(500 + x) Multiply 0.60 * 500 0.10 + 300 = 0.20(500 + x) Combine like terms: 0.10 + 300 = 300.1 300.1 = 0.20(500 + x) 300.1 = (500 * 0.20 + x * 0.20) 300.1 = (100 + 0.20x) Solving 300.1 = 100 + 0.20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.20x' to each side of the equation. 300.1 + -0.20x = 100 + 0.20x + -0.20x Combine like terms: 0.20x + -0.20x = 0.00 300.1 + -0.20x = 100 + 0.00 300.1 + -0.20x = 100 Add '-300.1' to each side of the equation. 300.1 + -300.1 + -0.20x = 100 + -300.1 Combine like terms: 300.1 + -300.1 = 0.0 0.0 + -0.20x = 100 + -300.1 -0.20x = 100 + -300.1 Combine like terms: 100 + -300.1 = -200.1 -0.20x = -200.1 Divide each side by '-0.20'. x = 1000.5 Simplifying x = 1000.5
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