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5040+8!+9!=x\times 7!
The factorial of 7 is 5040.
5040+40320+9!=x\times 7!
The factorial of 8 is 40320.
45360+9!=x\times 7!
Add 5040 and 40320 to get 45360.
45360+362880=x\times 7!
The factorial of 9 is 362880.
408240=x\times 7!
Add 45360 and 362880 to get 408240.
408240=x\times 5040
The factorial of 7 is 5040.
x\times 5040=408240
Swap sides so that all variable terms are on the left hand side.
x=\frac{408240}{5040}
Divide both sides by 5040.
x=81
Divide 408240 by 5040 to get 81.