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Simplifying 1000 = 400x + 200 Reorder the terms: 1000 = 200 + 400x Solving 1000 = 200 + 400x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-400x' to each side of the equation. 1000 + -400x = 200 + 400x + -400x Combine like terms: 400x + -400x = 0 1000 + -400x = 200 + 0 1000 + -400x = 200 Add '-1000' to each side of the equation. 1000 + -1000 + -400x = 200 + -1000 Combine like terms: 1000 + -1000 = 0 0 + -400x = 200 + -1000 -400x = 200 + -1000 Combine like terms: 200 + -1000 = -800 -400x = -800 Divide each side by '-400'. x = 2 Simplifying x = 2
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