https://file.aiquickdraw.com/mathbot/file/1726709493282ya0ppfji.jpg

The equation in the image is:

\[
7(2x - 9) + 2x = \_\_\_\_\_ x + \_\_\_\_\_
\]

Let's solve this step-by-step.

1. **Distribute the 7** over the expression inside the parentheses:
   \[
   7(2x - 9) = 7 \times 2x - 7 \times 9 = 14x - 63
   \]
   So the equation becomes:
   \[
   14x - 63 + 2x = \_\_\_\_\_ x + \_\_\_\_\_
   \]

2. **Combine like terms** on the left-hand side:
   \[
   (14x + 2x) - 63 = 16x - 63
   \]
   Therefore, the equation is now:
   \[
   16x - 63 = \_\_\_\_\_ x + \_\_\_\_\_
   \]

We now have the simplified form of the equation as:
\[
16x - 63 = \_\_\_\_\_ x + \_\_\_\_\_
\]
This suggests that the blanks are to be filled with parts of the expression. The left side is \(16x - 63\), and the right side seems to be asking for the breakdown of terms involving \(x\) and constants.

Would you like a further breakdown or have any specific questions about this step?

### Related questions:
1. What are the steps to isolate \(x\) in this equation?
2. How do you distribute and combine like terms in algebraic expressions?
3. What does the solution of an equation represent in terms of graphing?
4. How do you check if your solution to an algebraic equation is correct?
5. Can this equation be rewritten in a different form, like factored form?

### Tip:
When solving equations, always distribute and combine like terms carefully to avoid mistakes.

Solve the equation 7(2x - 9) + 2x = ___ x + ___

Learn how to solve the linear equation 7(2x - 9) + 2x = ___ x + ___ with a detailed step-by-step explanation. This problem covers key algebraic concepts, including distributive property and combining like terms. Suitable for students in Grades 7-9.

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