
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 number of real values of \( x \) that satisfy the equation \[ (2^{3x+2})(4^{2x+1}) = 8^{3x+4} \].
A) \( -6 \)
B) \( -5 \)
C) \( -4 \)
D) \( -3 \)
E) \( -2 \)

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