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4>7x-70
Multiply both sides of the equation by 14, the least common multiple of 7,2. Since 14 is positive, the inequality direction remains the same.
7x-70<4
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
7x<4+70
Add 70 to both sides.
7x<74
Add 4 and 70 to get 74.
x<\frac{74}{7}
Divide both sides by 7. Since 7 is positive, the inequality direction remains the same.