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6x+1-2x\geq -3
Subtract 2x from both sides.
4x+1\geq -3
Combine 6x and -2x to get 4x.
4x\geq -3-1
Subtract 1 from both sides.
4x\geq -4
Subtract 1 from -3 to get -4.
x\geq \frac{-4}{4}
Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.
x\geq -1
Divide -4 by 4 to get -1.