The first equation can be solved as follows:

Break down the equation into two separate equations: 2|2x| = 2, 4|2x| = 2Solve for x in each equation separately:
For 2|2x| = 2: |2x| = 1 -> 2x = 1 or 2x = -1 -> x = 1/2 or x = -1/2For 4|2x| = 2: |2x| = 1/2 -> 2x = 1/2 or 2x = -1/2 -> x = 1/4 or x = -1/4The solutions for x are: x = 1/2, -1/2, 1/4, -1/4

The second equation can be solved in a similar manner. Let me know if you would like me to proceed with solving the second equation.