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Simplifying 0.10x + 0.60(500) = 0.20(500 + x) Multiply 0.60 * 500 0.10x + 300 = 0.20(500 + x) Reorder the terms: 300 + 0.10x = 0.20(500 + x) 300 + 0.10x = (500 * 0.20 + x * 0.20) 300 + 0.10x = (100 + 0.20x) Solving 300 + 0.10x = 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 + 0.10x + -0.20x = 100 + 0.20x + -0.20x Combine like terms: 0.10x + -0.20x = -0.1x 300 + -0.1x = 100 + 0.20x + -0.20x Combine like terms: 0.20x + -0.20x = 0.00 300 + -0.1x = 100 + 0.00 300 + -0.1x = 100 Add '-300' to each side of the equation. 300 + -300 + -0.1x = 100 + -300 Combine like terms: 300 + -300 = 0 0 + -0.1x = 100 + -300 -0.1x = 100 + -300 Combine like terms: 100 + -300 = -200 -0.1x = -200 Divide each side by '-0.1'. x = 2000 Simplifying x = 2000
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