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2\left(2x+1\right)-2\left(2x-2\right)<-1
Multiply both sides of the equation by 4, the least common multiple of 2,4. Since 4 is positive, the inequality direction remains the same.
4x+2-2\left(2x-2\right)<-1
Use the distributive property to multiply 2 by 2x+1.
4x+2-4x+4<-1
Use the distributive property to multiply -2 by 2x-2.
2+4<-1
Combine 4x and -4x to get 0.
6<-1
Add 2 and 4 to get 6.
\text{false}
Compare 6 and -1.