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x+6x\geq 2-30
Multiply both sides of the equation by 6, the least common multiple of 6,3. Since 6 is positive, the inequality direction remains the same.
7x\geq 2-30
Combine x and 6x to get 7x.
7x\geq -28
Subtract 30 from 2 to get -28.
x\geq \frac{-28}{7}
Divide both sides by 7. Since 7 is positive, the inequality direction remains the same.
x\geq -4
Divide -28 by 7 to get -4.