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Simplifying 100(0.70x + 0.15(80)) = 100(0.60(x + 80)) Multiply 0.15 * 80 100(0.70x + 12) = 100(0.60(x + 80)) Reorder the terms: 100(12 + 0.70x) = 100(0.60(x + 80)) (12 * 100 + 0.70x * 100) = 100(0.60(x + 80)) (1200 + 70x) = 100(0.60(x + 80)) Reorder the terms: 1200 + 70x = 100(0.60(80 + x)) 1200 + 70x = 100((80 * 0.60 + x * 0.60)) 1200 + 70x = 100((48 + 0.60x)) 1200 + 70x = (48 * 100 + 0.60x * 100) 1200 + 70x = (4800 + 60x) Solving 1200 + 70x = 4800 + 60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60x' to each side of the equation. 1200 + 70x + -60x = 4800 + 60x + -60x Combine like terms: 70x + -60x = 10x 1200 + 10x = 4800 + 60x + -60x Combine like terms: 60x + -60x = 0 1200 + 10x = 4800 + 0 1200 + 10x = 4800 Add '-1200' to each side of the equation. 1200 + -1200 + 10x = 4800 + -1200 Combine like terms: 1200 + -1200 = 0 0 + 10x = 4800 + -1200 10x = 4800 + -1200 Combine like terms: 4800 + -1200 = 3600 10x = 3600 Divide each side by '10'. x = 360 Simplifying x = 360
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