$$ \begin{aligned} 4-2(3x+1) &= 32&& \text{simplify left side} \\[1 em]4-(6x+2) &= 32&& \\[1 em]4-6x-2 &= 32&& \\[1 em]-6x+2 &= 32&& \text{ move 2 to the right } \\[1 em]-6x &= 32-2&& \\[1 em]-6x &= 30&& \text{ divide both sides by $ -6 $ } \\[1 em]x &= -\frac{30}{6}&& \\[1 em]x &= -5&& \\[1 em] \end{aligned} $$
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