The given equation is
[tex]-10x+1+7x=37[/tex]Subtracting 7x from 10x, we get
[tex]1-3x=37[/tex]Subtracting 1 from both sides, we get
[tex]1-3x-1=37-1[/tex][tex]-3x=36[/tex]Dividing both sides by -3, we get
[tex]-\frac{3x}{-3}=\frac{36}{-3}[/tex][tex]x=-12[/tex]Hence the answer is x=-12.