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Simplifying 3(X + 1) + 2(X + 3) = 39 Reorder the terms: 3(1 + X) + 2(X + 3) = 39 (1 * 3 + X * 3) + 2(X + 3) = 39 (3 + 3X) + 2(X + 3) = 39 Reorder the terms: 3 + 3X + 2(3 + X) = 39 3 + 3X + (3 * 2 + X * 2) = 39 3 + 3X + (6 + 2X) = 39 Reorder the terms: 3 + 6 + 3X + 2X = 39 Combine like terms: 3 + 6 = 9 9 + 3X + 2X = 39 Combine like terms: 3X + 2X = 5X 9 + 5X = 39 Solving 9 + 5X = 39 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 5X = 39 + -9 Combine like terms: 9 + -9 = 0 0 + 5X = 39 + -9 5X = 39 + -9 Combine like terms: 39 + -9 = 30 5X = 30 Divide each side by '5'. X = 6 Simplifying X = 6
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