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To solve the equation 2/5x + 4 = 1/5, we can first subtract 4 from both sides of the equation to isolate the term with the variable.
2/5x + 4 - 4 = 1/5 - 4
This simplifies to:
2/5x = 1/5 - 20/5
Now, we can subtract the fractions on the right side of the equation:
2/5x = -19/5
Next, we can multiply both sides of the equation by the reciprocal of 2/5, which is 5/2:
(5/2)(2/5x) = (5/2)(-19/5)
This simplifies to:
x = -19/2
Therefore, the solution to the equation 2/5x + 4 = 1/5 is x = -19/2.
The correct answer is A. −19/2.