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3(7x+3)=10x-46
We move all terms to the left:
3(7x+3)-(10x-46)=0
We multiply parentheses
21x-(10x-46)+9=0
We get rid of parentheses
21x-10x+46+9=0
We add all the numbers together, and all the variables
11x+55=0
We move all terms containing x to the left, all other terms to the right
11x=-55
x=-55/11
x=-5
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