To solve the inequality \(-6x > 66\), follow these steps:
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Divide both sides by -6: When dividing or multiplying both sides of an inequality by a negative number, remember to reverse the inequality sign.
\[ x < \frac{66}{-6} \]
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Calculate the right side:
\[ x < -11 \]
So, the solution to the inequality is:
\[ x < -11 \]
This means that \(x\) can be any number less than -11.