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Simplifying 0.40x + 0.70(600) = 0.50(x + 600) Multiply 0.70 * 600 0.40x + 420 = 0.50(x + 600) Reorder the terms: 420 + 0.40x = 0.50(x + 600) Reorder the terms: 420 + 0.40x = 0.50(600 + x) 420 + 0.40x = (600 * 0.50 + x * 0.50) 420 + 0.40x = (300 + 0.50x) Solving 420 + 0.40x = 300 + 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. 420 + 0.40x + -0.50x = 300 + 0.50x + -0.50x Combine like terms: 0.40x + -0.50x = -0.1x 420 + -0.1x = 300 + 0.50x + -0.50x Combine like terms: 0.50x + -0.50x = 0.00 420 + -0.1x = 300 + 0.00 420 + -0.1x = 300 Add '-420' to each side of the equation. 420 + -420 + -0.1x = 300 + -420 Combine like terms: 420 + -420 = 0 0 + -0.1x = 300 + -420 -0.1x = 300 + -420 Combine like terms: 300 + -420 = -120 -0.1x = -120 Divide each side by '-0.1'. x = 1200 Simplifying x = 1200
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