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Simplifying 2(2X + 3) + 3(X + 1) = 24 Reorder the terms: 2(3 + 2X) + 3(X + 1) = 24 (3 * 2 + 2X * 2) + 3(X + 1) = 24 (6 + 4X) + 3(X + 1) = 24 Reorder the terms: 6 + 4X + 3(1 + X) = 24 6 + 4X + (1 * 3 + X * 3) = 24 6 + 4X + (3 + 3X) = 24 Reorder the terms: 6 + 3 + 4X + 3X = 24 Combine like terms: 6 + 3 = 9 9 + 4X + 3X = 24 Combine like terms: 4X + 3X = 7X 9 + 7X = 24 Solving 9 + 7X = 24 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 + 7X = 24 + -9 Combine like terms: 9 + -9 = 0 0 + 7X = 24 + -9 7X = 24 + -9 Combine like terms: 24 + -9 = 15 7X = 15 Divide each side by '7'. X = 2.142857143 Simplifying X = 2.142857143
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