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Simplifying 500x + 200(8 + x) = 2200 500x + (8 * 200 + x * 200) = 2200 500x + (1600 + 200x) = 2200 Reorder the terms: 1600 + 500x + 200x = 2200 Combine like terms: 500x + 200x = 700x 1600 + 700x = 2200 Solving 1600 + 700x = 2200 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1600' to each side of the equation. 1600 + -1600 + 700x = 2200 + -1600 Combine like terms: 1600 + -1600 = 0 0 + 700x = 2200 + -1600 700x = 2200 + -1600 Combine like terms: 2200 + -1600 = 600 700x = 600 Divide each side by '700'. x = 0.8571428571 Simplifying x = 0.8571428571
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