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12x-8-3x<3\left(1+3x\right)-7
Use the distributive property to multiply 4 by 3x-2.
9x-8<3\left(1+3x\right)-7
Combine 12x and -3x to get 9x.
9x-8<3+9x-7
Use the distributive property to multiply 3 by 1+3x.
9x-8<-4+9x
Subtract 7 from 3 to get -4.
9x-8-9x<-4
Subtract 9x from both sides.
-8<-4
Combine 9x and -9x to get 0.
x\in \mathrm{R}
This is true for any x.