
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 street has 25 houses on each side, for a total of 50 houses. The addresses on the south side of the street form an arithmetic sequence, as do the addresses on the north side of the street. On the south side, the addresses start at 5 and increase by 7 i.e., 5, 12, 19, etc., and on the north side they start at 2 and increase by 8 i.e., 2, 10, 18, etc. How much will a sign painter earn if he charges $\$1$ per digit for painting the house numbers once on each of these 50 houses?

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