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!