
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
How many integers \(x\) make the point \((x, -2x)\) lie inside or on the circle having a radius of \(10\) and centered at \((7, 3)\)?
- **A**: 5
- **B**: 6
- **C**: 7
- **D**: 8

Present the answer in LaTex format: \boxed{Your answer}
user