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Simplifying 0.40x + 0.70(400) = 0.50(400 + x) Multiply 0.70 * 400 0.40x + 280 = 0.50(400 + x) Reorder the terms: 280 + 0.40x = 0.50(400 + x) 280 + 0.40x = (400 * 0.50 + x * 0.50) 280 + 0.40x = (200 + 0.50x) Solving 280 + 0.40x = 200 + 0.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.50x' to each side of the equation. 280 + 0.40x + -0.50x = 200 + 0.50x + -0.50x Combine like terms: 0.40x + -0.50x = -0.1x 280 + -0.1x = 200 + 0.50x + -0.50x Combine like terms: 0.50x + -0.50x = 0.00 280 + -0.1x = 200 + 0.00 280 + -0.1x = 200 Add '-280' to each side of the equation. 280 + -280 + -0.1x = 200 + -280 Combine like terms: 280 + -280 = 0 0 + -0.1x = 200 + -280 -0.1x = 200 + -280 Combine like terms: 200 + -280 = -80 -0.1x = -80 Divide each side by '-0.1'. x = 800 Simplifying x = 800
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