
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
Let x be the initial number of black pieces in the box. The initial number of white pieces is also x. After adding 20 more pieces, the total number of black pieces is x and the total number of white pieces is x + 20. The ratio of the total number of white to black pieces is 7:8, so 8(x) = 7(x + 20).

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