
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
The grid of numbers comprises a row of squares and one column of squares. All numbers in the row and in the column form distinct arithmetic sequences. Determine the value of $X$ given the diagram below:

[asy]
unitsize(0.35inch);
draw((0,0)--(7,0)--(7,1)--(0,1)--cycle);
draw((1,0)--(1,1));
draw((2,0)--(2,1));
draw((3,0)--(3,1));
draw((4,0)--(4,1));
draw((5,0)--(5,1));
draw((6,0)--(6,1));
draw((6,3)--(7,3)--(7,-2)--(6,-2)--cycle);
draw((6,2)--(7,2));
draw((6,1)--(7,1));
draw((6,0)--(7,0));
draw((3,0)--(4,0)--(4,-2)--(3,-2)--cycle);
draw((3,-1)--(4,-1));
label("25",(0.5,0.5),S);
label("11",(3.5,-0.5),S);
label("$X$",(6.5,2.5),S);
label("11",(6.5,-1.5),S);
[/asy]

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