\(-6\left(x+7\right)+\left(x-5\right)=-52\)
\(\Leftrightarrow-6x-42+x-5+52=0\)
\(\Leftrightarrow-5x+5=0\)
\(\Leftrightarrow-5x=-5\)
\(\Rightarrow x=1\)
-6.(x+7) + (x - 5) = -52
-6x + -42 + x - 5 = -52
-6x + x - 5 = -52 + 42
-6x + x - 5 = -10
-5x - 5 = - 10
-5x = -10 + 5
-5x = -5
-1x = -1
=> x = 1