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-\left(x+68\right)>-2\left(x-21\right)
Multiply both sides of the equation by 6, the least common multiple of -6,-3. Since 6 is positive, the inequality direction remains the same.
-x-68>-2\left(x-21\right)
To find the opposite of x+68, find the opposite of each term.
-x-68>-2x+42
Use the distributive property to multiply -2 by x-21.
-x-68+2x>42
Add 2x to both sides.
x-68>42
Combine -x and 2x to get x.
x>42+68
Add 68 to both sides.
x>110
Add 42 and 68 to get 110.