The inequality provided is $x \leq -7$, which means that the solution includes all values of $x$ that are less than or equal to $-7$.

Let's check each of the options given:

1. $x = -4$: This is greater than $-7$, so it is not a solution.
2. $x = -2$: This is also greater than $-7$, so it is not a solution.
3. $x = -12$: This is less than $-7$, so it is a solution.
4. $x = -8$: This is less than $-7$, so it is a solution.

Therefore, the correct answers are:

• $x = -12$
• $x = -8$

It seems the checkboxes for $x = -4$, $x = -2$, and $x = -8$ are incorrectly selected, but the correct ones should be only $x = -12$ and $x = -8$.

Would you like more details on this? Here are five related questions:

1. How can I solve inequalities with variables on both sides?
2. What is the difference between "less than" and "less than or equal to"?
3. Can you explain how to graph inequalities on a number line?
4. What changes occur when multiplying or dividing inequalities by a negative number?
5. How do inequalities behave in systems of equations?

Tip: Always carefully check whether the inequality involves "strict" ($<$) or "inclusive" ($\leq$) conditions, as this affects which numbers are valid solutions.