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`A=|x-3|+2(x-6)`

`@TH1:x>=3=>A=x-3+2(x-6)=x-3+2x-12=3x-15`

`@TH2:x<3=>A=3-x+2(x-6)=3-x+2x-12=x-9`

`B=x-5+3|2x+3|`

`@TH1:x>=-3/2=>B=x-5+3(2x+3)=x-5+6x+9=7x+4`

`@TH2:x<-3/2=>B=x-5+3(-2x-3)=x-5-6x-9=-5x-14`

`C=5-|x+4|-2x`

`@TH1:x>=-4=>C=5-(x+4)-2x=5-x-4-2x=-3x+1`

`@TH2:x<-4=>C=5-(-x-4)-2x=5+x+4-2x=-x+9`

`D=2024+|3x-1|+x`

`@TH1:x>=1/3=>D=2024+3x-1+x=4x+2023`

`@TH2:x<1/3=>D=2024+1-3x+x=-2x+2025`