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578x-2000>3780
Combine 194x and 384x to get 578x.
578x>3780+2000
Add 2000 to both sides.
578x>5780
Add 3780 and 2000 to get 5780.
x>\frac{5780}{578}
Divide both sides by 578. Since 578 is positive, the inequality direction remains the same.
x>10
Divide 5780 by 578 to get 10.