
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 pressure valve is set so that the ratio of the pressure change, expressed as $5x - 6$, to the temperature in degrees Celsius, $t + 20$, remains constant. When the valve is tested initially, the temperature is 10 degrees, and the reading is $x = 4$. Determine the value of $x$ when the temperature reaches 40 degrees Celsius.
A) $\frac{32}{5}$
B) $\frac{33}{5}$
C) $\frac{34}{5}$
D) $\frac{35}{5}$
E) $\frac{36}{5}$

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