
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 diagram, two circles intersect at points A and B. On circle 1, from point A to point B on the circumference, there are angles labeled $7x^\circ$ and $3x^\circ$. On circle 2, from point A to point B clockwise, an angle of $8x^\circ$ is marked. What is the value of $x$? The sum of angles around any point on the same circle must equal $360^\circ$. What is $x$ if the sum of the angles around point A and point B should each equal $360^\circ$?

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