A simple observation would do!

Algebra Level 3

\[\large { (x-3) }^{ 3 }+{ (x-7 })^{ 3 }={ (2x-10) }^{ 3 }\]

Find the sum of all real roots of the equation above.

Note: There may multiple approaches to solve the problem. Thus, the approach you adopt to solve the equation matters more.

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