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((3x+15)/7)+((x+14)/4)=7
We move all terms to the left:
((3x+15)/7)+((x+14)/4)-(7)=0
We calculate fractions
(12x+60)/()+(7x+98)/()-7=0
We multiply all the terms by the denominator
(12x+60)+(7x+98)-7*()=0
We add all the numbers together, and all the variables
(12x+60)+(7x+98)=0
We get rid of parentheses
12x+7x+60+98=0
We add all the numbers together, and all the variables
19x+158=0
We move all terms containing x to the left, all other terms to the right
19x=-158
x=-158/19
x=-8+6/19
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