
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]


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A light ray emitted from point \( A(-3,3) \) is reflected off the \( x \)-axis, and the line of the reflected ray is tangent to the circle \( x^{2} + y^{2} - 4x - 4y + 7 = 0 \). Find the equation of the line \( l \) on which the light ray travels.

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