
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
Find the largest possible value of $x$ in the simplified form $x = \frac{a + b\sqrt{c}}{d}$ if $\frac{6x}{5} - 2 = \frac{4}{x}$, where $a, b, c,$ and $d$ are integers. What is $\frac{acd}{b}$?

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