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.

Learn how to simplify the algebraic expression f(x) = 5 − 3/7 × (-7). This problem focuses on key concepts such as multiplying fractions and handling negative numbers. Detailed step-by-step solutions are provided, making this problem ideal for students in Grades 6-8.

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