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Simplifying 100(1 + -1x) = 0.75(20) + 80(1 + -1y) (1 * 100 + -1x * 100) = 0.75(20) + 80(1 + -1y) (100 + -100x) = 0.75(20) + 80(1 + -1y) Multiply 0.75 * 20 100 + -100x = 15 + 80(1 + -1y) 100 + -100x = 15 + (1 * 80 + -1y * 80) 100 + -100x = 15 + (80 + -80y) Combine like terms: 15 + 80 = 95 100 + -100x = 95 + -80y Solving 100 + -100x = 95 + -80y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + -100x = 95 + -100 + -80y Combine like terms: 100 + -100 = 0 0 + -100x = 95 + -100 + -80y -100x = 95 + -100 + -80y Combine like terms: 95 + -100 = -5 -100x = -5 + -80y Divide each side by '-100'. x = 0.05 + 0.8y Simplifying x = 0.05 + 0.8y
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