
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
A circle has endpoints of its diameter at $(0,0)$ and $(10, -6)$. It intersects the x-axis at a second point. Determine the x-coordinate of this point.
A) 0
B) 5
C) 9
D) 10

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