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x>8x-16
Use the distributive property to multiply 8 by x-2.
x-8x>-16
Subtract 8x from both sides.
-7x>-16
Combine x and -8x to get -7x.
x<\frac{-16}{-7}
Divide both sides by -7. Since -7 is negative, the inequality direction is changed.
x<\frac{16}{7}
Fraction \frac{-16}{-7} can be simplified to \frac{16}{7} by removing the negative sign from both the numerator and the denominator.