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6x+1>-5
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
6x>-5-1
Subtract 1 from both sides.
6x>-6
Subtract 1 from -5 to get -6.
x>\frac{-6}{6}
Divide both sides by 6. Since 6 is positive, the inequality direction remains the same.
x>-1
Divide -6 by 6 to get -1.