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Simplifying 1250 + 27.50x = 1400 + 20x Solving 1250 + 27.50x = 1400 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 1250 + 27.50x + -20x = 1400 + 20x + -20x Combine like terms: 27.50x + -20x = 7.5x 1250 + 7.5x = 1400 + 20x + -20x Combine like terms: 20x + -20x = 0 1250 + 7.5x = 1400 + 0 1250 + 7.5x = 1400 Add '-1250' to each side of the equation. 1250 + -1250 + 7.5x = 1400 + -1250 Combine like terms: 1250 + -1250 = 0 0 + 7.5x = 1400 + -1250 7.5x = 1400 + -1250 Combine like terms: 1400 + -1250 = 150 7.5x = 150 Divide each side by '7.5'. x = 20 Simplifying x = 20
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