To solve the inequality \(-30 \geq 6x - 6\), follow these steps:

1. **Add 6 to both sides**:
   \[
   -30 + 6 \geq 6x
   \]
   \[
   -24 \geq 6x
   \]

2. **Divide both sides by 6**:
   \[
   \frac{-24}{6} \geq x
   \]
   \[
   -4 \geq x
   \]

This can also be written as:
\[
x \leq -4
\]

### Final Answer:
\[
x \leq -4
\]

Would you like more details on how this was solved or have any questions? Here are some related questions you might find useful:

1. How do you solve inequalities involving fractions?
2. What is the difference between solving equations and inequalities?
3. How do you graph the solution to the inequality \(x \leq -4\) on a number line?
4. Can inequalities have more than one solution?
5. How do you solve compound inequalities?

**Tip:** When dividing or multiplying both sides of an inequality by a negative number, remember to flip the inequality sign.

Solve the inequality for x: -30 ≥ 6x - 6

Learn how to solve the inequality -30 ≥ 6x - 6 with a detailed step-by-step solution. This problem covers key algebraic concepts such as inequalities and basic algebraic manipulation. Suitable for students in Grades 7-9.

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