The expression you provided is:

\[
3a - ax + bx - 3b
\]

We can simplify it by combining like terms. Group the terms involving \(a\) and \(b\):

\[
(3a - ax) + (bx - 3b)
\]

Next, factor out common terms from each group:

- From \(3a - ax\), you can factor out \(a\):
\[
a(3 - x)
\]

- From \(bx - 3b\), you can factor out \(b\):
\[
b(x - 3)
\]

Now, the simplified form of the expression is:
\[
a(3 - x) + b(x - 3)
\]

Since \(3 - x\) is the negative of \(x - 3\), we can rewrite the second term as:
\[
a(3 - x) - b(3 - x)
\]

Finally, factor out \(3 - x\):
\[
(3 - x)(a - b)
\]

So, the simplified expression is:
\[
(3 - x)(a - b)
\]

### Do you want more details or have any questions?

Here are five related questions to explore further:
1. How do you factor quadratic expressions with more terms?
2. What are common factorization techniques?
3. Can this be solved if specific values for \(a\), \(b\), and \(x\) are given?
4. How does factoring help simplify algebraic equations?
5. How do you expand factored forms back to their original expressions?

**Tip**: Always check for common factors before performing complex operations like expanding or simplifying.

Learn how to simplify the algebraic expression 3a - ax + bx - 3b by factoring common terms. This solution covers key algebraic techniques such as the distributive property and factoring, making it suitable for students in Grades 8-10.

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