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Simplifying 0.20x + 0.70(200) = 0.30(200 + x) Multiply 0.70 * 200 0.20x + 140 = 0.30(200 + x) Reorder the terms: 140 + 0.20x = 0.30(200 + x) 140 + 0.20x = (200 * 0.30 + x * 0.30) 140 + 0.20x = (60 + 0.30x) Solving 140 + 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. 140 + 0.20x + -0.30x = 60 + 0.30x + -0.30x Combine like terms: 0.20x + -0.30x = -0.1x 140 + -0.1x = 60 + 0.30x + -0.30x Combine like terms: 0.30x + -0.30x = 0.00 140 + -0.1x = 60 + 0.00 140 + -0.1x = 60 Add '-140' to each side of the equation. 140 + -140 + -0.1x = 60 + -140 Combine like terms: 140 + -140 = 0 0 + -0.1x = 60 + -140 -0.1x = 60 + -140 Combine like terms: 60 + -140 = -80 -0.1x = -80 Divide each side by '-0.1'. x = 800 Simplifying x = 800
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