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Simplifying 0.10x + 0.80(100) = 0.20(100 + x) Multiply 0.80 * 100 0.10x + 80 = 0.20(100 + x) Reorder the terms: 80 + 0.10x = 0.20(100 + x) 80 + 0.10x = (100 * 0.20 + x * 0.20) 80 + 0.10x = (20 + 0.20x) Solving 80 + 0.10x = 20 + 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. 80 + 0.10x + -0.20x = 20 + 0.20x + -0.20x Combine like terms: 0.10x + -0.20x = -0.1x 80 + -0.1x = 20 + 0.20x + -0.20x Combine like terms: 0.20x + -0.20x = 0.00 80 + -0.1x = 20 + 0.00 80 + -0.1x = 20 Add '-80' to each side of the equation. 80 + -80 + -0.1x = 20 + -80 Combine like terms: 80 + -80 = 0 0 + -0.1x = 20 + -80 -0.1x = 20 + -80 Combine like terms: 20 + -80 = -60 -0.1x = -60 Divide each side by '-0.1'. x = 600 Simplifying x = 600
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