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17x-4-3\geq 8
Combine 12x and 5x to get 17x.
17x-7\geq 8
Subtract 3 from -4 to get -7.
17x\geq 8+7
Add 7 to both sides.
17x\geq 15
Add 8 and 7 to get 15.
x\geq \frac{15}{17}
Divide both sides by 17. Since 17 is positive, the inequality direction remains the same.