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The equation |x + 4| = x has solution?
  1. x = 2
  2. x = -2
  3. x = 4
  4. None of these
Explanation

Absolute Value Equation

Given: |x + 4| = x

Case 1: x + 4 < 0 or x < -4

$x + 4 = x$

4 = 0, which is not possible.

-(x + 4) = x

-x - 4 = x

-2x = 4

x = -2

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