Nowhere island

Algebra Level 2

The mathematicians in Nowhere island introduced a new operation. An islander told us that the operation's symol is \(\clubsuit\). Furthermore he told us that for every \(x, y, z\) numbers

  • \(x\clubsuit x=0\)

  • \(x\clubsuit(y\clubsuit z)=(x\clubsuit y)+z\)

Find the value of \(2017\clubsuit7\).

Note: The \(\clubsuit\) is assign \(x\clubsuit y\) for every \((x;y)\) number pair.

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