
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 water tank initially contains $x$ litres of water. Pablo adds $\frac{t}{2}$ litres of water to the tank, making the tank $20\%$ full. After Pablo adds water to the tank, Chloe then adds $\frac{t^{2}}{4}$ litres of water to the tank, making the tank $50\%$ full. What is the value of $x$?

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