
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
In order to better protect the environment, a pollution control company decides to purchase several sewage treatment equipment. There are two models of equipment, $A$ and $B$. It is known that buying one unit of model $A$ costs $5$ thousand more than buying one unit of model $B$, and buying two units of model $A$ and three units of model $B$ costs a total of $45$ thousand. Find the price of each unit of model $A$ and model $B$ in thousand dollars.

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