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Find the co-efficient of x in the expans...

Find the co-efficient of x in the expansion of the determinant
`|{:((1+x)^2,(1+x)^4,(1+x)^6),((1+x)^3,(1+x)^6,(1+x)^9),((1+x)^4,(1+x)^8,(1+x)^12):}|`

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