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Simplifying 100(0.07x + 0.04(70)) = 100(0.05(x + 70)) Multiply 0.04 * 70 100(0.07x + 2.8) = 100(0.05(x + 70)) Reorder the terms: 100(2.8 + 0.07x) = 100(0.05(x + 70)) (2.8 * 100 + 0.07x * 100) = 100(0.05(x + 70)) (280 + 7x) = 100(0.05(x + 70)) Reorder the terms: 280 + 7x = 100(0.05(70 + x)) 280 + 7x = 100((70 * 0.05 + x * 0.05)) 280 + 7x = 100((3.5 + 0.05x)) 280 + 7x = (3.5 * 100 + 0.05x * 100) 280 + 7x = (350 + 5x) Solving 280 + 7x = 350 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 280 + 7x + -5x = 350 + 5x + -5x Combine like terms: 7x + -5x = 2x 280 + 2x = 350 + 5x + -5x Combine like terms: 5x + -5x = 0 280 + 2x = 350 + 0 280 + 2x = 350 Add '-280' to each side of the equation. 280 + -280 + 2x = 350 + -280 Combine like terms: 280 + -280 = 0 0 + 2x = 350 + -280 2x = 350 + -280 Combine like terms: 350 + -280 = 70 2x = 70 Divide each side by '2'. x = 35 Simplifying x = 35
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