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3-8x+4x\geq 3
Add 4x to both sides.
3-4x\geq 3
Combine -8x and 4x to get -4x.
-4x\geq 3-3
Subtract 3 from both sides.
-4x\geq 0
Subtract 3 from 3 to get 0.
x\leq 0
Product of two numbers is ≥0 if both are ≥0 or both are ≤0. Since -4\leq 0, x must be ≤0.