Une Somme Difficile

\[ x = 1+\frac{1}{12}+\frac{1(4)}{2!}\frac{1}{12^2}+\frac{1(4)(7)}{3!}\frac{1}{12^3}+\frac{1(4)(7)(10)}{4!}\frac{1}{12^4}+\cdots\]

Find the value of \(3x^3\).

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