How hard can this be?

Algebra Level pending

Let \(f(x)\) be a 5th degree polynomial of the form \({ x }^{ 5 }+a{ x }^{ 4 }+{ bx }^{ 3 }+c{ x }^{ 2 }+dx+e\).

Also, \(f(n)=10n\) for \(n = 1, 2, 3, 4, 5\).

Find \(a+b+c+d+e.\)

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