
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
Given the function $f(x) = 3x - 2$, where $x \in \mathbb{R}$. Define: for a given real number $x$, assign $x_1 = f(x_1)$. If $x_1 \leq 244$, then continue assigning, $x_2 = f(x_2)$, ..., in this manner, if $x_{n-1} \leq 244$, then $x_n = f(x_{n-1})$, otherwise stop assigning. If $x_n$ is obtained, it is said to have been assigned $n$ times ($n \in \mathbb{N}^*$). It is known that the process stops after assigning $k$ times, find the range of $x$.

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