\begin{equation}\label{eq:xTildeEll}
	\begin{aligned}
		x_\ell 			&= -x_j - \sum_{i\neq\ell,j} x_i = -x_j - (n-1)\bar{x}\\
		\tilde{x}_\ell  &= -\sum_{i\neq\ell} \tilde{x}_i = -n\bar{\tilde{x}}
	\end{aligned}
\end{equation}
