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83=-6x-4\left(5x+1\right)
Add 1 and 82 to get 83.
83=-6x-20x-4
Use the distributive property to multiply -4 by 5x+1.
83=-26x-4
Combine -6x and -20x to get -26x.
-26x-4=83
Swap sides so that all variable terms are on the left hand side.
-26x=83+4
Add 4 to both sides.
-26x=87
Add 83 and 4 to get 87.
x=\frac{87}{-26}
Divide both sides by -26.
x=-\frac{87}{26}
Fraction \frac{87}{-26} can be rewritten as -\frac{87}{26} by extracting the negative sign.