
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
Alex begins with $100$ red tokens and $60$ blue tokens. There is a booth that allows Alex to exchange three red tokens for one gold token and two blue tokens, and another booth where he can exchange four blue tokens for one gold token and one red token. Calculate the number of gold tokens Alex will have at the end.

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