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We present a study of the $X^\pm(5568)$ using semileptonic decays of the$B_s^0$ meson using the full Run II integrated luminosity of 10.4 fb$^{-1}$ inproton-antiproton collisions at a center of mass energy of 1.96\,TeV collectedwith the D0 detector at the Fermilab Tevatron Collider. We report evidence fora narrow structure, $X^\pm(5568)$, in the decay sequence $X^\pm(5568) \to B_s^0\pi^\pm$ where $B_s^0 \rightarrow \mu^\mp D_s^\pm \, \mathrm{X}$, $D_s^\pm\rightarrow \phi \pi^{\pm}$ which is consistent with the previous measurementby the D0 collaboration in the hadronic decay mode, $X^\pm(5568) \to B^0_s\pi^\pm$ where $B^0_s \to J/\psi\phi$. The mass and width of this state aremeasured using a combined fit of the hadronic and semileptonic data, yielding$m = 5566.9 ^{+3.2}_{-3.1} \thinspace {\rm (stat)} ^{+0.6}_{-1.2} {\rm\thinspace (syst)}$\,MeV/$c^2$, $\Gamma = 18.6 ^{+7.9}_{-6.1} {\rm \thinspace(stat)} ^{+3.5}_{-3.8} {\rm \thinspace (syst)} $\,MeV/$c^2$ with a significanceof 6.7$\,\sigma$.

Study of the ${X^\pm(5568)}$ state with semileptonic decays of the ${B_s^0}$ meson