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Simplifying 0.90x + 0.20(100 + -1x) = 0.80(100) 0.90x + (100 * 0.20 + -1x * 0.20) = 0.80(100) 0.90x + (20 + -0.2x) = 0.80(100) Reorder the terms: 20 + 0.90x + -0.2x = 0.80(100) Combine like terms: 0.90x + -0.2x = 0.7x 20 + 0.7x = 0.80(100) Multiply 0.80 * 100 20 + 0.7x = 80 Solving 20 + 0.7x = 80 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 0.7x = 80 + -20 Combine like terms: 20 + -20 = 0 0 + 0.7x = 80 + -20 0.7x = 80 + -20 Combine like terms: 80 + -20 = 60 0.7x = 60 Divide each side by '0.7'. x = 85.71428571 Simplifying x = 85.71428571
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