Markov Chains & Long-Run Behavior · Medium problem

A two-state chain has transition matrix $M = \begin{pmatrix} 0.8 & 0.3 \\ 0.2 & 0.7 \end{pmatrix}$, where $M_{ij}$ is the probability of moving to state $i$ from state $j$. After two steps the distribution is $\mathbf x_2 = \begin{pmatrix} 0.55 \\ 0.45 \end{pmatrix}$. What was the probability of state 1 in the starting distribution $\mathbf x_0$? Express your answer as a decimal.