
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
If  $(2^x - 4^x) + (2^{-x} - 4^{-x}) = 3$ , find the numerical value of the expression   $$ (8^x + 3\cdot 2^x) + (8^{-x} + 3\cdot 2^{-x}). $$  

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