Let's simplify the expression:

\[
\frac{4}{7} + \frac{2}{7}x - 14x + \frac{4}{7}
\]

### Step 1: Combine the constant terms
The constant terms are \(\frac{4}{7} + \frac{4}{7}\).

\[
\frac{4}{7} + \frac{4}{7} = \frac{8}{7}
\]

### Step 2: Combine the terms with \(x\)
The terms with \(x\) are \(\frac{2}{7}x - 14x\).

Since \(-14x\) can be written as \(\frac{-98}{7}x\), we can combine them as follows:

\[
\frac{2}{7}x - \frac{98}{7}x = \frac{-96}{7}x
\]

### Final simplified expression:
\[
\frac{8}{7} - \frac{96}{7}x
\]

Would you like any more details on the steps?

Here are five related questions:
1. How do you factor out common terms in similar expressions?
2. What happens if there are more variables in the equation?
3. How can you handle terms with different denominators?
4. How would this change if the expression were a fraction?
5. Can you represent this simplified expression graphically?

**Tip:** Always combine like terms first to simplify algebraic expressions.

This problem covers how to simplify the algebraic expression 4/7 + 2/7x - 14x + 4/7 by combining like terms. Learn how to work with fractions and linear terms in this step-by-step solution, suitable for students in Grades 6-8.

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