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Simplifying 100x + -5000 = 75x + -10000 Reorder the terms: -5000 + 100x = 75x + -10000 Reorder the terms: -5000 + 100x = -10000 + 75x Solving -5000 + 100x = -10000 + 75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-75x' to each side of the equation. -5000 + 100x + -75x = -10000 + 75x + -75x Combine like terms: 100x + -75x = 25x -5000 + 25x = -10000 + 75x + -75x Combine like terms: 75x + -75x = 0 -5000 + 25x = -10000 + 0 -5000 + 25x = -10000 Add '5000' to each side of the equation. -5000 + 5000 + 25x = -10000 + 5000 Combine like terms: -5000 + 5000 = 0 0 + 25x = -10000 + 5000 25x = -10000 + 5000 Combine like terms: -10000 + 5000 = -5000 25x = -5000 Divide each side by '25'. x = -200 Simplifying x = -200
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