Sum of roots #1

Algebra Level 4

\[\large \left( x+1 \right) \left( x+2 \right) \left( x+3 \right) =\frac { 720 }{ \left( x+4 \right) \left( x+5 \right) \left( x+6 \right)} \]

Find sum of all real solutions of the equation above.

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