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3\left(2x-3x-1\right)=x+1
To find the opposite of 3x+1, find the opposite of each term.
3\left(-x-1\right)=x+1
Combine 2x and -3x to get -x.
-3x-3=x+1
Use the distributive property to multiply 3 by -x-1.
-3x-3-x=1
Subtract x from both sides.
-4x-3=1
Combine -3x and -x to get -4x.
-4x=1+3
Add 3 to both sides.
-4x=4
Add 1 and 3 to get 4.
x=\frac{4}{-4}
Divide both sides by -4.
x=-1
Divide 4 by -4 to get -1.