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4x+1=-2x-1
To find the opposite of 2x+1, find the opposite of each term.
4x+1+2x=-1
Add 2x to both sides.
6x+1=-1
Combine 4x and 2x to get 6x.
6x=-1-1
Subtract 1 from both sides.
6x=-2
Subtract 1 from -1 to get -2.
x=\frac{-2}{6}
Divide both sides by 6.
x=-\frac{1}{3}
Reduce the fraction \frac{-2}{6} to lowest terms by extracting and canceling out 2.