Assume that the fourier Transform of a signal x(t) is real and has the shape shown below.

Plot the spectrum of following signal, where x̂(t) denotes the Hilbert transform of x(t).

\({x_1}\left( t \right) = \frac{1}{2}x\left( t \right) + \frac{4}{3}j\hat x\left( t \right)\)