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Find the integer xxx satisfying 4(x+1)!=(2x−6)! x!4(x+1)! = (2x-6)! \, x! 4(x+1)!=(2x−6)!x!.
Notation: !!! is the factorial notation. For example, 8!=1×2×3×⋯×88! = 1\times2\times3\times\cdots\times8 8!=1×2×3×⋯×8.
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