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Simplifying 0.20x + 0.60(200) = 0.30(200 + x) Multiply 0.60 * 200 0.20x + 120 = 0.30(200 + x) Reorder the terms: 120 + 0.20x = 0.30(200 + x) 120 + 0.20x = (200 * 0.30 + x * 0.30) 120 + 0.20x = (60 + 0.30x) Solving 120 + 0.20x = 60 + 0.30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.30x' to each side of the equation. 120 + 0.20x + -0.30x = 60 + 0.30x + -0.30x Combine like terms: 0.20x + -0.30x = -0.1x 120 + -0.1x = 60 + 0.30x + -0.30x Combine like terms: 0.30x + -0.30x = 0.00 120 + -0.1x = 60 + 0.00 120 + -0.1x = 60 Add '-120' to each side of the equation. 120 + -120 + -0.1x = 60 + -120 Combine like terms: 120 + -120 = 0 0 + -0.1x = 60 + -120 -0.1x = 60 + -120 Combine like terms: 60 + -120 = -60 -0.1x = -60 Divide each side by '-0.1'. x = 600 Simplifying x = 600
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