
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 beam of light passes through point M(25, 18) and strikes the x-axis, then reflects to the circle C: $x^2 + (y-7)^2 = 25$.
(1) Find the equation of the reflected light ray passing through the center of the circle;
(2) Determine the range of the incident point A on the x-axis.

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