( 29 ( x - 1 ) < 5 - 2 ( 2 x + 1 ) )
Solve for x
x<\frac{32}{33}
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29x-29<5-2\left(2x+1\right)
Use the distributive property to multiply 29 by x-1.
29x-29<5-4x-2
Use the distributive property to multiply -2 by 2x+1.
29x-29<3-4x
Subtract 2 from 5 to get 3.
29x-29+4x<3
Add 4x to both sides.
33x-29<3
Combine 29x and 4x to get 33x.
33x<3+29
Add 29 to both sides.
33x<32
Add 3 and 29 to get 32.
x<\frac{32}{33}
Divide both sides by 33. Since 33 is positive, the inequality direction remains the same.
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