
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
On the sides $AB$ and $BC$ of an isosceles triangle $ABC$ with an angle of $44^{\circ}$ at the vertex, points $M$ and $N$ are taken such that $AM=BN=AC$. Point $X$ on the ray $CA$ is such that $MX=AB$. Find the angle $MXN$.

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