
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
In an expanded factor tree, each value is the product of the two values below it unless the value is a prime number. Construct and solve for the value of $X$ in the factor tree shown below:

[asy]
draw((-1.5,0)--(0,0.5)--(1.5,0),linewidth(1));
draw((-2.5,-1)--(-1.5,-0.5)--(-0.5,-1),linewidth(1));
draw((0.5,-1)--(1.5,-0.5)--(2.5,-1),linewidth(1));
label("X",(0,0.5),N);
label("Y",(-1.5,-0.5),N);
label("7",(-2.5,-1),S);
label("Z",(1.5,-0.5),N);
label("11",(-0.5,-1),S);
label("7",(0.5,-1),S);
label("F",(2.5,-1),S);
draw((-1.5,-2)--(-0.5,-1.5)--(0.5,-2),linewidth(1));
draw((1.5,-2)--(2.5,-1.5)--(3.5,-2),linewidth(1));
label("7",(-1.5,-2),S);
label("2",(0.5,-2),S);
label("11",(1.5,-2),S);
label("2",(3.5,-2),S);
[/asy]

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