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Simplifying 0.5x + 250 = 0.25x + -123 Reorder the terms: 250 + 0.5x = 0.25x + -123 Reorder the terms: 250 + 0.5x = -123 + 0.25x Solving 250 + 0.5x = -123 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. 250 + 0.5x + -0.25x = -123 + 0.25x + -0.25x Combine like terms: 0.5x + -0.25x = 0.25x 250 + 0.25x = -123 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 250 + 0.25x = -123 + 0.00 250 + 0.25x = -123 Add '-250' to each side of the equation. 250 + -250 + 0.25x = -123 + -250 Combine like terms: 250 + -250 = 0 0 + 0.25x = -123 + -250 0.25x = -123 + -250 Combine like terms: -123 + -250 = -373 0.25x = -373 Divide each side by '0.25'. x = -1492 Simplifying x = -1492
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