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6-9x>4\left(1-4x\right)
Use the distributive property to multiply 3 by 2-3x.
6-9x>4-16x
Use the distributive property to multiply 4 by 1-4x.
6-9x+16x>4
Add 16x to both sides.
6+7x>4
Combine -9x and 16x to get 7x.
7x>4-6
Subtract 6 from both sides.
7x>-2
Subtract 6 from 4 to get -2.
x>-\frac{2}{7}
Divide both sides by 7. Since 7 is positive, the inequality direction remains the same.