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Simplifying 100(0.90x + 0.10(60)) = 100(0.80(x + 60)) Multiply 0.10 * 60 100(0.90x + 6) = 100(0.80(x + 60)) Reorder the terms: 100(6 + 0.90x) = 100(0.80(x + 60)) (6 * 100 + 0.90x * 100) = 100(0.80(x + 60)) (600 + 90x) = 100(0.80(x + 60)) Reorder the terms: 600 + 90x = 100(0.80(60 + x)) 600 + 90x = 100((60 * 0.80 + x * 0.80)) 600 + 90x = 100((48 + 0.80x)) 600 + 90x = (48 * 100 + 0.80x * 100) 600 + 90x = (4800 + 80x) Solving 600 + 90x = 4800 + 80x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80x' to each side of the equation. 600 + 90x + -80x = 4800 + 80x + -80x Combine like terms: 90x + -80x = 10x 600 + 10x = 4800 + 80x + -80x Combine like terms: 80x + -80x = 0 600 + 10x = 4800 + 0 600 + 10x = 4800 Add '-600' to each side of the equation. 600 + -600 + 10x = 4800 + -600 Combine like terms: 600 + -600 = 0 0 + 10x = 4800 + -600 10x = 4800 + -600 Combine like terms: 4800 + -600 = 4200 10x = 4200 Divide each side by '10'. x = 420 Simplifying x = 420
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