To simplify the expression \( 2(4x - 8y) - 9x + 7 \), follow these steps:

1. **Distribute the 2**:
   \[
   2(4x - 8y) = 8x - 16y
   \]
   So the expression becomes:
   \[
   8x - 16y - 9x + 7
   \]

2. **Combine like terms** (grouping the \(x\)-terms):
   \[
   (8x - 9x) - 16y + 7 = -x - 16y + 7
   \]

The simplified expression is:
\[
-x - 16y + 7
\]

Would you like further explanation or more details on any of these steps?

Here are 5 related questions:
1. How do you distribute a number over a binomial expression?
2. What are like terms, and how do you combine them?
3. Can you simplify expressions with more complex terms like \(x^2\) or higher powers?
4. How do you simplify expressions involving fractions?
5. How do you solve for \(x\) if the expression equals a value?

**Tip**: Always combine like terms carefully, ensuring that terms with the same variables are grouped together!

Learn how to simplify the expression 2(4x - 8y) - 9x + 7 through distribution and combining like terms. This step-by-step solution covers key algebraic concepts for students in Grades 7-9, making complex expressions more approachable.

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