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.