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Solve algebraically showing all steps.

22x=16

To solve for x algebraically:

1. Begin by isolating x by dividing both sides of the equation by 22:
22x = 16
x = 16/22

2. Simplify the fraction by finding the greatest common factor of 16 and 22:
Both 16 and 22 can be divided by 2:
x = 8/11

Therefore, the solution to the equation 22x = 16 is x = 8/11.