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7+3x-4x\geq 0
Subtract 4x from both sides.
7-x\geq 0
Combine 3x and -4x to get -x.
-x\geq -7
Subtract 7 from both sides. Anything subtracted from zero gives its negation.
x\leq \frac{-7}{-1}
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.
x\leq 7
Fraction \frac{-7}{-1} can be simplified to 7 by removing the negative sign from both the numerator and the denominator.