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Simplifying 125x + -1000 = 100x + -400 Reorder the terms: -1000 + 125x = 100x + -400 Reorder the terms: -1000 + 125x = -400 + 100x Solving -1000 + 125x = -400 + 100x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100x' to each side of the equation. -1000 + 125x + -100x = -400 + 100x + -100x Combine like terms: 125x + -100x = 25x -1000 + 25x = -400 + 100x + -100x Combine like terms: 100x + -100x = 0 -1000 + 25x = -400 + 0 -1000 + 25x = -400 Add '1000' to each side of the equation. -1000 + 1000 + 25x = -400 + 1000 Combine like terms: -1000 + 1000 = 0 0 + 25x = -400 + 1000 25x = -400 + 1000 Combine like terms: -400 + 1000 = 600 25x = 600 Divide each side by '25'. x = 24 Simplifying x = 24
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