Work-Energy With Position-Dependent Friction

A 0.5 kg mass attached to a horizontal spring (k = 200 N/m) is released from rest with the spring compressed 0.2 m. The coefficient of kinetic friction between the mass and the surface is position-dependent, given by $\mu_k(x) = 0.1|x|$, where $x$ is the displacement from equilibrium in meters. What is the maximum distance the mass travels from its initial position?