
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
Given that $M=\{1,2,x\}$ and $N=\{x,1,2\}$, set $M$ is equal to set $N$, and given that $A=\{1,0,a\}$ and $B=\{\frac{1}{a}, |a|, \frac{b}{a}\}$, where $A=B$, find the value of $b-a$.

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