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\frac{105}{-7}=1+4x
Divide both sides by -7.
-15=1+4x
Divide 105 by -7 to get -15.
1+4x=-15
Swap sides so that all variable terms are on the left hand side.
4x=-15-1
Subtract 1 from both sides.
4x=-16
Subtract 1 from -15 to get -16.
x=\frac{-16}{4}
Divide both sides by 4.
x=-4
Divide -16 by 4 to get -4.