
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 a binary operation $\star$ on ordered pairs of integers defined by $(a,b)\star (c,d)=(a+c,b-d)$, find the value of $x$ from $(x,y)\star (2,1)$, if $(4,5)\star (1,3)$ and $(x,y)\star (2,1)$ represent identical pairs.

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