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1+3x\geq 3x-3
Multiply both sides of the equation by 3. Since 3 is positive, the inequality direction remains the same.
1+3x-3x\geq -3
Subtract 3x from both sides.
1\geq -3
Combine 3x and -3x to get 0.
x\in \mathrm{R}
This is true for any x.