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1x+4=7x+9
We move all terms to the left:
1x+4-(7x+9)=0
We add all the numbers together, and all the variables
x-(7x+9)+4=0
We get rid of parentheses
x-7x-9+4=0
We add all the numbers together, and all the variables
-6x-5=0
We move all terms containing x to the left, all other terms to the right
-6x=5
x=5/-6
x=-5/6
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