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Simplifying x * 2 + -75x + 2000 = 50x + -500 Reorder the terms for easier multiplication: 2x + -75x + 2000 = 50x + -500 Reorder the terms: 2000 + 2x + -75x = 50x + -500 Combine like terms: 2x + -75x = -73x 2000 + -73x = 50x + -500 Reorder the terms: 2000 + -73x = -500 + 50x Solving 2000 + -73x = -500 + 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. 2000 + -73x + -50x = -500 + 50x + -50x Combine like terms: -73x + -50x = -123x 2000 + -123x = -500 + 50x + -50x Combine like terms: 50x + -50x = 0 2000 + -123x = -500 + 0 2000 + -123x = -500 Add '-2000' to each side of the equation. 2000 + -2000 + -123x = -500 + -2000 Combine like terms: 2000 + -2000 = 0 0 + -123x = -500 + -2000 -123x = -500 + -2000 Combine like terms: -500 + -2000 = -2500 -123x = -2500 Divide each side by '-123'. x = 20.32520325 Simplifying x = 20.32520325
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