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-x-3<5\times 40
Multiply both sides by 40. Since 40 is positive, the inequality direction remains the same.
-x-3<200
Multiply 5 and 40 to get 200.
-x<200+3
Add 3 to both sides.
-x<203
Add 200 and 3 to get 203.
x>-203
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.