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Simplifying 1000x + -2000 = 2000 + -1000x Reorder the terms: -2000 + 1000x = 2000 + -1000x Solving -2000 + 1000x = 2000 + -1000x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1000x' to each side of the equation. -2000 + 1000x + 1000x = 2000 + -1000x + 1000x Combine like terms: 1000x + 1000x = 2000x -2000 + 2000x = 2000 + -1000x + 1000x Combine like terms: -1000x + 1000x = 0 -2000 + 2000x = 2000 + 0 -2000 + 2000x = 2000 Add '2000' to each side of the equation. -2000 + 2000 + 2000x = 2000 + 2000 Combine like terms: -2000 + 2000 = 0 0 + 2000x = 2000 + 2000 2000x = 2000 + 2000 Combine like terms: 2000 + 2000 = 4000 2000x = 4000 Divide each side by '2000'. x = 2 Simplifying x = 2
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