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35x-21-6\left(1-4x\right)>7
Use the distributive property to multiply 7 by 5x-3.
35x-21-6+24x>7
Use the distributive property to multiply -6 by 1-4x.
35x-27+24x>7
Subtract 6 from -21 to get -27.
59x-27>7
Combine 35x and 24x to get 59x.
59x>7+27
Add 27 to both sides.
59x>34
Add 7 and 27 to get 34.
x>\frac{34}{59}
Divide both sides by 59. Since 59 is positive, the inequality direction remains the same.