How to align text within rcases environment?

I am writing a code for an optimisation problem, which I have included below. I am trying to align the text "such that" with the first row of the constraints (starting with x_13). At present, it aligns with x_11. Is there a way to achieve this?

begin{equation*}
begin{aligned}
smash[b]{underset{x_{ij}}{textnormal{minimise}}} quad 
&4x_{11}++gamma(theta)
&+2x_{22}+11x_{21}+13x_{77}
&+2x_{11}+9x_{31}+13x_{42}
text{such that}quad
 &begin{rcases}
    x_{13}+x_{22}+x_{43}+x_{77}leq 1,  
    x_{11}+x_{22}+x_{15}+x_{33}leq 5,      
    x_{39}+x_{30}+x_{38}+x_{39}leq 45,   
      end{rcases} (text{strong constraints}) 
      &begin{rcases}
    x_{19}+x_{01}+x_{11}geq 4,   
    x_{46}+x_{23}+x_{42}geq 19,   
    x_{10}+x_{24}+x_{33}geq 17,   
    end{rcases} (text{weak constraints}) 
end{aligned}
end{equation*}