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Simplifying 0.20x + 0.80(200 + -1x) = 0.30(200) 0.20x + (200 * 0.80 + -1x * 0.80) = 0.30(200) 0.20x + (160 + -0.8x) = 0.30(200) Reorder the terms: 160 + 0.20x + -0.8x = 0.30(200) Combine like terms: 0.20x + -0.8x = -0.6x 160 + -0.6x = 0.30(200) Multiply 0.30 * 200 160 + -0.6x = 60 Solving 160 + -0.6x = 60 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-160' to each side of the equation. 160 + -160 + -0.6x = 60 + -160 Combine like terms: 160 + -160 = 0 0 + -0.6x = 60 + -160 -0.6x = 60 + -160 Combine like terms: 60 + -160 = -100 -0.6x = -100 Divide each side by '-0.6'. x = 166.6666667 Simplifying x = 166.6666667
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