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Simplifying 0.30x + 0.90(600) = 0.50(600 + x) Multiply 0.90 * 600 0.30x + 540 = 0.50(600 + x) Reorder the terms: 540 + 0.30x = 0.50(600 + x) 540 + 0.30x = (600 * 0.50 + x * 0.50) 540 + 0.30x = (300 + 0.50x) Solving 540 + 0.30x = 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. 540 + 0.30x + -0.50x = 300 + 0.50x + -0.50x Combine like terms: 0.30x + -0.50x = -0.2x 540 + -0.2x = 300 + 0.50x + -0.50x Combine like terms: 0.50x + -0.50x = 0.00 540 + -0.2x = 300 + 0.00 540 + -0.2x = 300 Add '-540' to each side of the equation. 540 + -540 + -0.2x = 300 + -540 Combine like terms: 540 + -540 = 0 0 + -0.2x = 300 + -540 -0.2x = 300 + -540 Combine like terms: 300 + -540 = -240 -0.2x = -240 Divide each side by '-0.2'. x = 1200 Simplifying x = 1200
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