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5x-21=-9x+21

We move all terms to the left:

5x-21-(-9x+21)=0

We get rid of parentheses

5x+9x-21-21=0

We add all the numbers together, and all the variables

14x-42=0

We move all terms containing x to the left, all other terms to the right

14x=42

x=42/14

x=3

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