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7x+1-3x\geq -27
Subtract 3x from both sides.
4x+1\geq -27
Combine 7x and -3x to get 4x.
4x\geq -27-1
Subtract 1 from both sides.
4x\geq -28
Subtract 1 from -27 to get -28.
x\geq \frac{-28}{4}
Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.
x\geq -7
Divide -28 by 4 to get -7.