Solve for x
x<6
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2x+32>11\left(x-2\right)
Use the distributive property to multiply 2 by x+16.
2x+32>11x-22
Use the distributive property to multiply 11 by x-2.
2x+32-11x>-22
Subtract 11x from both sides.
-9x+32>-22
Combine 2x and -11x to get -9x.
-9x>-22-32
Subtract 32 from both sides.
-9x>-54
Subtract 32 from -22 to get -54.
x<\frac{-54}{-9}
Divide both sides by -9. Since -9 is negative, the inequality direction is changed.
x<6
Divide -54 by -9 to get 6.
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