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6x+4110\leq 55
Combine 7x and -x to get 6x.
6x\leq 55-4110
Subtract 4110 from both sides.
6x\leq -4055
Subtract 4110 from 55 to get -4055.
x\leq -\frac{4055}{6}
Divide both sides by 6. Since 6 is positive, the inequality direction remains the same.