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Simplifying 5(X + 3) = 3(X + 9) Reorder the terms: 5(3 + X) = 3(X + 9) (3 * 5 + X * 5) = 3(X + 9) (15 + 5X) = 3(X + 9) Reorder the terms: 15 + 5X = 3(9 + X) 15 + 5X = (9 * 3 + X * 3) 15 + 5X = (27 + 3X) Solving 15 + 5X = 27 + 3X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3X' to each side of the equation. 15 + 5X + -3X = 27 + 3X + -3X Combine like terms: 5X + -3X = 2X 15 + 2X = 27 + 3X + -3X Combine like terms: 3X + -3X = 0 15 + 2X = 27 + 0 15 + 2X = 27 Add '-15' to each side of the equation. 15 + -15 + 2X = 27 + -15 Combine like terms: 15 + -15 = 0 0 + 2X = 27 + -15 2X = 27 + -15 Combine like terms: 27 + -15 = 12 2X = 12 Divide each side by '2'. X = 6 Simplifying X = 6
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