
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 gas station located between points $A$ and $B$ on a highway needs to be relocated due to railway construction. Two new locations have been proposed. According to the first proposal, the distance from point $A$ to the gas station would decrease by one-fifth, while the distance from point $B$ would increase by one-eighth of the current distance plus $120 \mathrm{~m}$. If the second proposal were implemented, the distance from the gas station to $B$ would decrease by one-fifth, but the distance to $A$ would increase by one-seventh of the current distance plus $180 \mathrm{~m}$. How far is the gas station currently from points $A$ and $B$?

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