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5x+9x=7x-14

We move all terms to the left:

5x+9x-(7x-14)=0

We add all the numbers together, and all the variables

14x-(7x-14)=0

We get rid of parentheses

14x-7x+14=0

We add all the numbers together, and all the variables

7x+14=0

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

7x=-14

x=-14/7

x=-2

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