
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 container holds $80 \mathrm{~cm}^{3}$ of hydrochloric acid with a density of $1.2 \mathrm{g} / \mathrm{cm}^{3}$, and another container holds $100 \mathrm{~cm}^{3}$ of ammonia solution with a density of $0.8 \mathrm{g} / \mathrm{cm}^{3}$. From the first container, $x \mathrm{~cm}^{3}$ is poured into the second container; after uniform mixing, $x \mathrm{~cm}^{3}$ is poured back into the first container. What is the value of $x$ if, after pouring back, the weight of the liquid in both containers is equal?

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