
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
Let a binary operation $\star$ on ordered pairs of integers be defined by $(a,b)\star (c,d)=(a+c,b-d)$. Calculate $(5, 4) \star (2, 2)$ and then find $x$ such that $(x,y)\star (3,3)$ yields the same result.
A) 1  
B) 4  
C) 5  
D) 7  
E) 9

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