Algebra-1

To solve the equation 41 = |-1 + 5x|, we need to consider two cases: when the expression inside the absolute value is positive and when it is negative.

Case 1: -1 + 5x is positive

If -1 + 5x is positive, then the equation becomes -1 + 5x = 41.

Solve for x:

-1 + 5x = 41

-1 + 5x + 1 = 41 + 1

5x = 42

5x/5 = 42/5

x = 8.4

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