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Simplifying 1000 + 200x = 500 + 250x Solving 1000 + 200x = 500 + 250x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-250x' to each side of the equation. 1000 + 200x + -250x = 500 + 250x + -250x Combine like terms: 200x + -250x = -50x 1000 + -50x = 500 + 250x + -250x Combine like terms: 250x + -250x = 0 1000 + -50x = 500 + 0 1000 + -50x = 500 Add '-1000' to each side of the equation. 1000 + -1000 + -50x = 500 + -1000 Combine like terms: 1000 + -1000 = 0 0 + -50x = 500 + -1000 -50x = 500 + -1000 Combine like terms: 500 + -1000 = -500 -50x = -500 Divide each side by '-50'. x = 10 Simplifying x = 10
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