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The given expression is:

\[
\frac{140x - 42}{7}
\]

To simplify this expression, we divide each term in the numerator by 7:

\[
\frac{140x}{7} - \frac{42}{7} = 20x - 6
\]

So the simplified result is:

\[
20x - 6
\]

Would you like more details on how the division is carried out? 

Here are 5 questions to expand on this:

1. How can we simplify complex fractions?
2. What happens when the numerator has more terms?
3. How do we distribute division over addition or subtraction?
4. Can we factor the numerator before dividing?
5. What is the general method for simplifying algebraic fractions?

**Tip:** When dividing terms in the numerator by a number, remember to apply the division to every term separately.

Learn how to simplify the algebraic fraction (140x - 42) / 7 with a step-by-step solution. This problem covers key algebraic concepts such as simplification and the distributive property. Suitable for students in Grades 6-8.

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