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Simplifying 5(5 + 2X) + -5 = 3(3X + 7) (5 * 5 + 2X * 5) + -5 = 3(3X + 7) (25 + 10X) + -5 = 3(3X + 7) Reorder the terms: 25 + -5 + 10X = 3(3X + 7) Combine like terms: 25 + -5 = 20 20 + 10X = 3(3X + 7) Reorder the terms: 20 + 10X = 3(7 + 3X) 20 + 10X = (7 * 3 + 3X * 3) 20 + 10X = (21 + 9X) Solving 20 + 10X = 21 + 9X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-9X' to each side of the equation. 20 + 10X + -9X = 21 + 9X + -9X Combine like terms: 10X + -9X = 1X 20 + 1X = 21 + 9X + -9X Combine like terms: 9X + -9X = 0 20 + 1X = 21 + 0 20 + 1X = 21 Add '-20' to each side of the equation. 20 + -20 + 1X = 21 + -20 Combine like terms: 20 + -20 = 0 0 + 1X = 21 + -20 1X = 21 + -20 Combine like terms: 21 + -20 = 1 1X = 1 Divide each side by '1'. X = 1 Simplifying X = 1
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