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-7x+3+x\leq 4
Add x to both sides.
-6x+3\leq 4
Combine -7x and x to get -6x.
-6x\leq 4-3
Subtract 3 from both sides.
-6x\leq 1
Subtract 3 from 4 to get 1.
x\geq -\frac{1}{6}
Divide both sides by -6. Since -6 is negative, the inequality direction is changed.