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x-1-3x-\left(-1\right)=9-x
To find the opposite of 3x-1, find the opposite of each term.
x-1-3x+1=9-x
The opposite of -1 is 1.
-2x-1+1=9-x
Combine x and -3x to get -2x.
-2x=9-x
Add -1 and 1 to get 0.
-2x+x=9
Add x to both sides.
-x=9
Combine -2x and x to get -x.
x=-9
Multiply both sides by -1.