The expression \( ac + bc - xc \) can be factored or simplified based on common terms:

1. Group similar terms:
   \[
   (ac + bc) - xc
   \]
   
2. Factor out the common factor \(c\) from the first two terms:
   \[
   c(a + b) - xc
   \]

3. Factor out the common factor \(c\) from the entire expression:
   \[
   c[(a + b) - x]
   \]

Thus, the simplified expression is:
\[
c(a + b - x)
\]

Would you like more details on factoring or simplification techniques? Here are some related questions to deepen understanding:

1. How can factoring be used to simplify more complex algebraic expressions?
2. What is the difference between factoring and expanding an expression?
3. How would you factor expressions with multiple variables and powers?
4. Can the distributive property always be applied to algebraic expressions?
5. What are the key techniques to identify common factors?

**Tip:** Always look for common factors in an expression as the first step in simplification!

Learn how to simplify the expression ac + bc - xc by factoring common terms. This solution involves using the distributive property and finding common factors, which are key concepts in algebra. Suitable for students in Grades 6-8.

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