
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
Given the following Number Wall, you need to find the number that will replace the block labeled `$x$`. At the bottom level, place your numbers as given, then add the numbers next to each other to write the sum in the block directly above the two numbers. Consider that the numbers at the top of the pyramid get multiplied by a factor before final display. Find `$x$`:

\[
\begin{array}{ccccccccc}
 & & & & x & & & & \\
 & & & \times 2 & & 78 & & & \\
 & & 36 & & m & & 42 & & \\
 & 17 & & 29 & & 28 & & n & \\
x & & p & & 34 & & q & & z \\
\end{array}
\]

Where `$p = 20, q = 6, z = 44$, and the numbers `$m$` and `$n$` are missing. Calculate `$x$`.

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