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1-6x+6x-3=2x+1+3\left(1-x\right)
Use the distributive property to multiply 3 by 2x-1.
1-3=2x+1+3\left(1-x\right)
Combine -6x and 6x to get 0.
-2=2x+1+3\left(1-x\right)
Subtract 3 from 1 to get -2.
-2=2x+1+3-3x
Use the distributive property to multiply 3 by 1-x.
-2=2x+4-3x
Add 1 and 3 to get 4.
-2=-x+4
Combine 2x and -3x to get -x.
-x+4=-2
Swap sides so that all variable terms are on the left hand side.
-x=-2-4
Subtract 4 from both sides.
-x=-6
Subtract 4 from -2 to get -6.
x=6
Multiply both sides by -1.