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To solve for x, we can start by isolating the variable on one side of the inequality.
First, subtract 12 from both sides of the equation:
12 - 12 - 6x > 24 - 12
-6x > 12
Next, divide both sides of the equation by -6. Since we are dividing by a negative number, the inequality sign will flip:
(-6x) / -6 < 12 / -6
x < -2
Therefore, the solution to the inequality is x < -2.