Equation with abs value

How many solutions has the equation
(∣x∣+x)∣x−3∣=∣x+1∣
in the real numbers?

Correct result:

n =  4

Solution:

x1=−1 x2=0.219223593596 x3=2.2807764064 x4=3.63745860882

The equation has infinity many solutions.

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