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3\left(1\times 4+1\right)+4x=7
Multiply both sides of the equation by 12, the least common multiple of 4,3,12.
3\left(4+1\right)+4x=7
Multiply 1 and 4 to get 4.
3\times 5+4x=7
Add 4 and 1 to get 5.
15+4x=7
Multiply 3 and 5 to get 15.
4x=7-15
Subtract 15 from both sides.
4x=-8
Subtract 15 from 7 to get -8.
x=\frac{-8}{4}
Divide both sides by 4.
x=-2
Divide -8 by 4 to get -2.