
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
Cut equal weights from two alloys that weigh 7 kg and 3 kg, respectively, and have different percentages of copper. After melting each cut piece with the remaining alloy, the two resulting alloys have equal percentages of copper. What is the weight of the alloy that was cut?

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