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Simplifying 50 + X = 1.5(25 + X) 50 + X = (25 * 1.5 + X * 1.5) 50 + X = (37.5 + 1.5X) Solving 50 + X = 37.5 + 1.5X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1.5X' to each side of the equation. 50 + X + -1.5X = 37.5 + 1.5X + -1.5X Combine like terms: X + -1.5X = -0.5X 50 + -0.5X = 37.5 + 1.5X + -1.5X Combine like terms: 1.5X + -1.5X = 0.0 50 + -0.5X = 37.5 + 0.0 50 + -0.5X = 37.5 Add '-50' to each side of the equation. 50 + -50 + -0.5X = 37.5 + -50 Combine like terms: 50 + -50 = 0 0 + -0.5X = 37.5 + -50 -0.5X = 37.5 + -50 Combine like terms: 37.5 + -50 = -12.5 -0.5X = -12.5 Divide each side by '-0.5'. X = 25 Simplifying X = 25
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