The given function is:

$f(x) = 5 - \frac{3}{7} \times (-7)$

First, let's simplify the expression $\frac{3}{7} \times (-7)$:

$\frac{3}{7} \times (-7) = -3$

Now, substitute this into the function:

$f(x) = 5 - (-3)$

This simplifies to:

$f(x) = 5 + 3 = 8$

Thus, the simplified form of the function is:

$f(x) = 8$

This means that the function $f(x)$ is a constant, and it evaluates to 8 for any value of $x$.

Would you like further details on this process, or have any questions?

Here are some related questions:

1. How do we handle negative numbers in fraction multiplication?
2. What is the meaning of a constant function in mathematics?
3. How does this function differ from one that depends on $x$?
4. What are the rules for simplifying fractions in algebraic expressions?
5. How do we interpret a constant function graphically?

Tip: When simplifying expressions, always perform operations inside parentheses and manage signs carefully.