Fourier trasformation of a integral differential equation

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I dont understand how I could proceed for the calculus of the Fourier Trasform $\hat f(\omega)$ (and its anti-transform $f(x)$, but forget about that for this moment) of

$f'(x)= x + \int_{+\infty}^{-\infty}\;e^{-|x-y|}f(y)dy$