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Simplifying 1023x = (x + 500) * 500 Reorder the terms: 1023x = (500 + x) * 500 Reorder the terms for easier multiplication: 1023x = 500(500 + x) 1023x = (500 * 500 + x * 500) 1023x = (250000 + 500x) Solving 1023x = 250000 + 500x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-500x' to each side of the equation. 1023x + -500x = 250000 + 500x + -500x Combine like terms: 1023x + -500x = 523x 523x = 250000 + 500x + -500x Combine like terms: 500x + -500x = 0 523x = 250000 + 0 523x = 250000 Divide each side by '523'. x = 478.0114723 Simplifying x = 478.0114723
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