To solve this inequality, we need to isolate the variable x by performing the following steps:
1. Add 7 to both sides of the inequality:
-4x - 7 + 7 > 1 + 7
-4x > 8
2. Divide both sides by -4 (since the coefficient of x is -4 and dividing by a negative number reverses the inequality):
-4x / -4 < 8 / -4
x < -2
Therefore, the solution to the inequality -4x - 7 > 1 is x < -2.
-4x - 7 > 1
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