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6x+1-3x\geq -20
Subtract 3x from both sides.
3x+1\geq -20
Combine 6x and -3x to get 3x.
3x\geq -20-1
Subtract 1 from both sides.
3x\geq -21
Subtract 1 from -20 to get -21.
x\geq \frac{-21}{3}
Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.
x\geq -7
Divide -21 by 3 to get -7.