
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
Let  $\triangle ABC$  have  $\angle ABC=67^{\circ}$ . Point  $X$  is chosen such that  $AB = XC$ ,  $\angle{XAC}=32^\circ$ , and  $\angle{XCA}=35^\circ$ . Compute  $\angle{BAC}$  in degrees.

*Proposed by Raina Yang*

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