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4x+2\left(3x+2\right)=1+x
Multiply both sides of the equation by 4, the least common multiple of 2,4.
4x+6x+4=1+x
Use the distributive property to multiply 2 by 3x+2.
10x+4=1+x
Combine 4x and 6x to get 10x.
10x+4-x=1
Subtract x from both sides.
9x+4=1
Combine 10x and -x to get 9x.
9x=1-4
Subtract 4 from both sides.
9x=-3
Subtract 4 from 1 to get -3.
x=\frac{-3}{9}
Divide both sides by 9.
x=-\frac{1}{3}
Reduce the fraction \frac{-3}{9} to lowest terms by extracting and canceling out 3.