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Simplifying 2.5(4X + 5) = 7.5x + -17.5 Reorder the terms: 2.5(5 + 4X) = 7.5x + -17.5 (5 * 2.5 + 4X * 2.5) = 7.5x + -17.5 (12.5 + 10X) = 7.5x + -17.5 Reorder the terms: 12.5 + 10X = -17.5 + 7.5x Solving 12.5 + 10X = -17.5 + 7.5x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-12.5' to each side of the equation. 12.5 + -12.5 + 10X = -17.5 + -12.5 + 7.5x Combine like terms: 12.5 + -12.5 = 0.0 0.0 + 10X = -17.5 + -12.5 + 7.5x 10X = -17.5 + -12.5 + 7.5x Combine like terms: -17.5 + -12.5 = -30 10X = -30 + 7.5x Divide each side by '10'. X = -3 + 0.75x Simplifying X = -3 + 0.75x
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