
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 a table setup with a row and three columns of numbers, the integers in the row and each of the columns form distinct arithmetic sequences. Calculate the value of $X$ in the setup below:

[asy]
unitsize(0.35inch);
draw((0,0)--(8,0)--(8,1)--(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((7,0)--(7,1));
draw((7,2)--(8,2)--(8,-4)--(7,-4)--cycle);
draw((7,-1)--(8,-1));
draw((7,-2)--(8,-2));
draw((7,-3)--(8,-3));
draw((4,0)--(5,0)--(5,-3)--(4,-3)--cycle);
draw((4,-1)--(5,-1));
draw((4,-2)--(5,-2));
draw((4,-3)--(5,-3));
label("25",(0.5,0.8),S);
label("20",(4.5,-1.2),S);
label("23",(4.5,-2.2),S);
label("$X$",(7.5,1.8),S);
label("-20",(7.5,-3.2),S);
[/asy]

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