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To solve the inequality 12 - 6x > 24, we need to isolate the variable x on one side of the inequality. Let's go through the steps:
1. Start with the inequality: 12 - 6x > 24
2. Subtract 12 from both sides: -6x > 12
3. Divide both sides by -6 (note that when dividing or multiplying both sides of the inequality by a negative number, the inequality sign must be reversed): x < -2 (dividing by -6)
Therefore, the correct solution set is x < -2.