
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
Assuming the variable conditions (variables $a$, $b$, $x$, and $y$ taking positive values):
- $a = 2b$
- $x = 3y$
- $a + b = x \cdot y$
What is the value of $x \cdot a$ when $b = 4$ and $y = 2$?
**A)** 24
**B)** 32
**C)** 48
**D)** 72
**E)** 96

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