Let's simplify the given expression:

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

### Step 1: Combine the constant terms
- The constant terms are \(\frac{-4}{7}\) and \(\frac{4}{7}\).
- \[
\frac{-4}{7} + \frac{4}{7} = 0
\]
So the constants cancel out.

### Step 2: Combine the \(x\)-terms
- The \(x\)-terms are \(\frac{2}{7}x\) and \(-14x\).
- \[
\frac{2}{7}x - 14x = \frac{2}{7}x - \frac{98}{7}x = \frac{2x - 98x}{7} = \frac{-96x}{7}
\]

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

Let me know if you'd like more details or have any questions!

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Here are 5 related questions to practice:

1. Simplify: \(\frac{3}{5}x + \frac{2}{5}x - 7x\)
2. Simplify: \(\frac{6}{9}x + \frac{3}{9} - x\)
3. Combine: \(\frac{-5}{4}x + \frac{9}{4} - 2x + 5\)
4. Solve: \(3x + 4 = 7x - 8\)
5. Factor: \(12x^2 - 8x\)

**Tip**: Always combine like terms by aligning the variables and constants separately for clarity!

Simplify the algebraic expression -4/7 + 2/7x - 14x + 4/7 with a step-by-step guide. Learn how to combine like terms and constants to arrive at the final simplified form. This problem is suitable for students in Grades 6-8.

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