To solve the equation for \( x \), we will isolate \( x \) on one side of the equation. The given equation is:

\[
-22 - \frac{x}{9} = -19
\]

### Step-by-step Solution:

1. **Add 22 to both sides to isolate the term with \( x \):**

\[
-22 + 22 - \frac{x}{9} = -19 + 22
\]

\[
-\frac{x}{9} = 3
\]

2. **Multiply both sides by -9 to solve for \( x \):**

\[
x = 3 \times (-9)
\]

3. **Calculate the product:**

\[
x = -27
\]

### Final Answer:

\[
x = -27
\]

Would you like more details on how this equation was solved, or do you have any questions?

Here are some related questions you might find helpful:

1. How do you solve linear equations with negative coefficients?
2. What are the rules for dealing with negative numbers in equations?
3. How do you check the solution to a linear equation?
4. How can you solve linear equations that involve both addition and subtraction of fractions?
5. What are some strategies for solving equations with variables on both sides?

**Tip:** Always perform the same operation on both sides of the equation to maintain balance.

Learn how to solve the equation -22 - x/9 = -19 with a detailed step-by-step solution. This problem involves algebraic equations and fractions. Suitable for students in Grades 6-8.

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