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-100=-6-36x-36
Use the distributive property to multiply -9 by 4x+4.
-100=-42-36x
Subtract 36 from -6 to get -42.
-42-36x=-100
Swap sides so that all variable terms are on the left hand side.
-36x=-100+42
Add 42 to both sides.
-36x=-58
Add -100 and 42 to get -58.
x=\frac{-58}{-36}
Divide both sides by -36.
x=\frac{29}{18}
Reduce the fraction \frac{-58}{-36} to lowest terms by extracting and canceling out -2.