
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
In the Cartesian coordinate plane $(xOy)$, a line $l$ passes through point $M(-4,0)$ and intersects circle $C$: $(x-1)^{2}+y^{2}=5$ at points $A$ and $B$. If point $A$ is exactly the midpoint of line segment $MB$, then the equation of line $l$ is _____.

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