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Simplifying 0.70x + 0.20(400 + -1x) = 0.60(400) 0.70x + (400 * 0.20 + -1x * 0.20) = 0.60(400) 0.70x + (80 + -0.2x) = 0.60(400) Reorder the terms: 80 + 0.70x + -0.2x = 0.60(400) Combine like terms: 0.70x + -0.2x = 0.5x 80 + 0.5x = 0.60(400) Multiply 0.60 * 400 80 + 0.5x = 240 Solving 80 + 0.5x = 240 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 + 0.5x = 240 + -80 Combine like terms: 80 + -80 = 0 0 + 0.5x = 240 + -80 0.5x = 240 + -80 Combine like terms: 240 + -80 = 160 0.5x = 160 Divide each side by '0.5'. x = 320 Simplifying x = 320
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