$$ \begin{aligned} 7(3x+5) &= 11-(x+9)&& \text{simplify left and right hand side} \\[1 em]21x+35 &= 11-x-9&& \\[1 em]21x+35 &= -x+2&& \text{move the $ \color{blue}{ -x } $ to the left side and $ \color{blue}{ 35 }$ to the right} \\[1 em]21x+x &= 2-35&& \text{simplify left and right hand side} \\[1 em]22x &= -33&& \text{ divide both sides by $ 22 $ } \\[1 em]x &= -\frac{33}{22}&& \\[1 em]x &= -\frac{3}{2}&& \\[1 em] \end{aligned} $$

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