
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
A binary operation $\star$ is defined such that $a \star (b \star c) = (a \star b) - c$ and $a \star a = 2$ for all integers $a, b, c$. Solve the equation $100 \star (5 \star x) = 20$.

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