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6x-1>5\times 7
Multiply both sides by 7. Since 7 is positive, the inequality direction remains the same.
6x-1>35
Multiply 5 and 7 to get 35.
6x>35+1
Add 1 to both sides.
6x>36
Add 35 and 1 to get 36.
x>\frac{36}{6}
Divide both sides by 6. Since 6 is positive, the inequality direction remains the same.
x>6
Divide 36 by 6 to get 6.