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x+3-7x>-3
Subtract 7x from both sides.
-6x+3>-3
Combine x and -7x to get -6x.
-6x>-3-3
Subtract 3 from both sides.
-6x>-6
Subtract 3 from -3 to get -6.
x<\frac{-6}{-6}
Divide both sides by -6. Since -6 is negative, the inequality direction is changed.
x<1
Divide -6 by -6 to get 1.