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Simplifying 0.60x + 0.20(400 + -1x) = 0.50(400) 0.60x + (400 * 0.20 + -1x * 0.20) = 0.50(400) 0.60x + (80 + -0.2x) = 0.50(400) Reorder the terms: 80 + 0.60x + -0.2x = 0.50(400) Combine like terms: 0.60x + -0.2x = 0.4x 80 + 0.4x = 0.50(400) Multiply 0.50 * 400 80 + 0.4x = 200 Solving 80 + 0.4x = 200 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 + 0.4x = 200 + -80 Combine like terms: 80 + -80 = 0 0 + 0.4x = 200 + -80 0.4x = 200 + -80 Combine like terms: 200 + -80 = 120 0.4x = 120 Divide each side by '0.4'. x = 300 Simplifying x = 300
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