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10-4x=5x-35
We move all terms to the left:
10-4x-(5x-35)=0
We get rid of parentheses
-4x-5x+35+10=0
We add all the numbers together, and all the variables
-9x+45=0
We move all terms containing x to the left, all other terms to the right
-9x=-45
x=-45/-9
x=+5
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