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Simplifying 0.60(x) + 0.20(400) = 0.50(c + 400) Multiply 0.20 * 400 0.60x + 80 = 0.50(c + 400) Reorder the terms: 80 + 0.60x = 0.50(c + 400) Reorder the terms: 80 + 0.60x = 0.50(400 + c) 80 + 0.60x = (400 * 0.50 + c * 0.50) 80 + 0.60x = (200 + 0.50c) Solving 80 + 0.60x = 200 + 0.50c Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + 0.60x = 200 + -80 + 0.50c Combine like terms: 80 + -80 = 0 0 + 0.60x = 200 + -80 + 0.50c 0.60x = 200 + -80 + 0.50c Combine like terms: 200 + -80 = 120 0.60x = 120 + 0.50c Divide each side by '0.60'. x = 200 + 0.8333333333c Simplifying x = 200 + 0.8333333333c
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