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6(8-x)+36=102-4(3x+24)
We move all terms to the left:
6(8-x)+36-(102-4(3x+24))=0
We add all the numbers together, and all the variables
6(-1x+8)-(102-4(3x+24))+36=0
We multiply parentheses
-6x-(102-4(3x+24))+48+36=0
We calculate terms in parentheses: -(102-4(3x+24)), so:We add all the numbers together, and all the variables
102-4(3x+24)
determiningTheFunctionDomain -4(3x+24)+102
We multiply parentheses
-12x-96+102
We add all the numbers together, and all the variables
-12x+6
Back to the equation:
-(-12x+6)
-6x-(-12x+6)+84=0
We get rid of parentheses
-6x+12x-6+84=0
We add all the numbers together, and all the variables
6x+78=0
We move all terms containing x to the left, all other terms to the right
6x=-78
x=-78/6
x=-13
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