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8x+80-9<75+10\left(1+x\right)
Use the distributive property to multiply 8 by x+10.
8x+71<75+10\left(1+x\right)
Subtract 9 from 80 to get 71.
8x+71<75+10+10x
Use the distributive property to multiply 10 by 1+x.
8x+71<85+10x
Add 75 and 10 to get 85.
8x+71-10x<85
Subtract 10x from both sides.
-2x+71<85
Combine 8x and -10x to get -2x.
-2x<85-71
Subtract 71 from both sides.
-2x<14
Subtract 71 from 85 to get 14.
x>\frac{14}{-2}
Divide both sides by -2. Since -2 is negative, the inequality direction is changed.
x>-7
Divide 14 by -2 to get -7.