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Simplifying 3(X + 3) + 2(X + 1) = 31 Reorder the terms: 3(3 + X) + 2(X + 1) = 31 (3 * 3 + X * 3) + 2(X + 1) = 31 (9 + 3X) + 2(X + 1) = 31 Reorder the terms: 9 + 3X + 2(1 + X) = 31 9 + 3X + (1 * 2 + X * 2) = 31 9 + 3X + (2 + 2X) = 31 Reorder the terms: 9 + 2 + 3X + 2X = 31 Combine like terms: 9 + 2 = 11 11 + 3X + 2X = 31 Combine like terms: 3X + 2X = 5X 11 + 5X = 31 Solving 11 + 5X = 31 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 5X = 31 + -11 Combine like terms: 11 + -11 = 0 0 + 5X = 31 + -11 5X = 31 + -11 Combine like terms: 31 + -11 = 20 5X = 20 Divide each side by '5'. X = 4 Simplifying X = 4
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