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Simplifying 5(4X + 5) = 3(5X + 5) Reorder the terms: 5(5 + 4X) = 3(5X + 5) (5 * 5 + 4X * 5) = 3(5X + 5) (25 + 20X) = 3(5X + 5) Reorder the terms: 25 + 20X = 3(5 + 5X) 25 + 20X = (5 * 3 + 5X * 3) 25 + 20X = (15 + 15X) Solving 25 + 20X = 15 + 15X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-15X' to each side of the equation. 25 + 20X + -15X = 15 + 15X + -15X Combine like terms: 20X + -15X = 5X 25 + 5X = 15 + 15X + -15X Combine like terms: 15X + -15X = 0 25 + 5X = 15 + 0 25 + 5X = 15 Add '-25' to each side of the equation. 25 + -25 + 5X = 15 + -25 Combine like terms: 25 + -25 = 0 0 + 5X = 15 + -25 5X = 15 + -25 Combine like terms: 15 + -25 = -10 5X = -10 Divide each side by '5'. X = -2 Simplifying X = -2
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