
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 lane has 25 houses on each side, totaling 50 houses. The addresses on the east side follow an arithmetic sequence, as do the addresses on the west side. On the east side, the addresses start at 6 and increase by 8 (i.e., 6, 14, 22, etc.), and on the west side, they start at 5 and increase by 7 (i.e., 5, 12, 19, etc.). The painting cost for house numbers is $2 per digit. Calculate the total amount the signage painter earns by painting all 50 house numbers.

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