Let's solve the equation \( \sqrt{x} - 7 - 10 = -9 \).

### Step-by-step solution:

1. Simplify the left side:
   \[
   \sqrt{x} - 17 = -9
   \]
   
2. Add 17 to both sides:
   \[
   \sqrt{x} = -9 + 17
   \]
   \[
   \sqrt{x} = 8
   \]

3. Square both sides to remove the square root:
   \[
   x = 8^2
   \]
   \[
   x = 64
   \]

### Final answer:
\[
x = 64
\]

Would you like more details or have any questions? Here are some related questions for practice:

1. Solve \( \sqrt{x} - 4 = 5 \).
2. Solve \( \sqrt{x + 1} = 7 \).
3. Solve \( \sqrt{2x - 5} - 3 = 6 \).
4. Solve \( \sqrt{x} + 10 = 14 \).
5. Solve \( 3\sqrt{x} - 9 = 0 \).

**Tip**: Always check your solution by substituting the value back into the original equation to make sure it works!

Learn how to solve the square root equation \sqrt{x} - 7 - 10 = -9 with a detailed, step-by-step solution. This algebra problem introduces square roots and simplifying linear equations. Suitable for students in Grades 6-8.

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