
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
A certain machine has a display showing an integer $x$, and two buttons, $\mathrm{A}$ and $\mathrm{B}$. When button $\mathrm{A}$ is pressed, the number $x$ on the display is replaced by $2x + 1$. When button $\mathrm{B}$ is pressed, the number $x$ on the display is replaced by $3x - 1$. What is the largest two-digit number that can be obtained by pressing some sequence of buttons $\mathrm{A}$ and $\mathrm{B}$ starting from the number 5 on the display?
(a) 85  
(b) 87  
(c) 92  
(d) 95  
(e) 96

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