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Simplifying 0.80x + 0.20(600) = 0.70(x + 600) Multiply 0.20 * 600 0.80x + 120 = 0.70(x + 600) Reorder the terms: 120 + 0.80x = 0.70(x + 600) Reorder the terms: 120 + 0.80x = 0.70(600 + x) 120 + 0.80x = (600 * 0.70 + x * 0.70) 120 + 0.80x = (420 + 0.70x) Solving 120 + 0.80x = 420 + 0.70x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.70x' to each side of the equation. 120 + 0.80x + -0.70x = 420 + 0.70x + -0.70x Combine like terms: 0.80x + -0.70x = 0.1x 120 + 0.1x = 420 + 0.70x + -0.70x Combine like terms: 0.70x + -0.70x = 0.00 120 + 0.1x = 420 + 0.00 120 + 0.1x = 420 Add '-120' to each side of the equation. 120 + -120 + 0.1x = 420 + -120 Combine like terms: 120 + -120 = 0 0 + 0.1x = 420 + -120 0.1x = 420 + -120 Combine like terms: 420 + -120 = 300 0.1x = 300 Divide each side by '0.1'. x = 3000 Simplifying x = 3000
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