
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
The graphs of a function $f(x) = 4x + c$ and its inverse function $f^{-1}(x)$ intersect at the point $(2, d)$. Given that $c$ and $d$ are both integers, what is the value of $d$?

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