The equation $|x| = 7$ implies that $x$ can be either 7 or -7. This is because the absolute value of a number represents its distance from zero on the number line, regardless of direction.

So, the possible values of $x$ are:

$x = 7 \quad \text{or} \quad x = -7$

Would you like more details on absolute value functions, or do you have any other questions?

Here are 5 related questions to consider:

1. What is the general definition of an absolute value?
2. How would you solve $|x| = -5$?
3. How does the graph of $y = |x|$ look?
4. What is the solution set for $|x| < 7$?
5. How would you solve $|2x - 3| = 5$?

Tip: Remember, the absolute value of any number is always non-negative, which means it's always zero or positive.