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13x\geq 8x-2
Combine 6x and 7x to get 13x.
13x-8x\geq -2
Subtract 8x from both sides.
5x\geq -2
Combine 13x and -8x to get 5x.
x\geq -\frac{2}{5}
Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.