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Simplifying 1.5x + 250 = 2.5x + 300 Reorder the terms: 250 + 1.5x = 2.5x + 300 Reorder the terms: 250 + 1.5x = 300 + 2.5x Solving 250 + 1.5x = 300 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. 250 + 1.5x + -2.5x = 300 + 2.5x + -2.5x Combine like terms: 1.5x + -2.5x = -1x 250 + -1x = 300 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 250 + -1x = 300 + 0.0 250 + -1x = 300 Add '-250' to each side of the equation. 250 + -250 + -1x = 300 + -250 Combine like terms: 250 + -250 = 0 0 + -1x = 300 + -250 -1x = 300 + -250 Combine like terms: 300 + -250 = 50 -1x = 50 Divide each side by '-1'. x = -50 Simplifying x = -50
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