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16=4(5)^x+8
We move all terms to the left:
16-(4(5)^x+8)=0
We get rid of parentheses
-45^x-8+16=0
We add all the numbers together, and all the variables
-45^x+8=0
We move all terms containing x to the left, all other terms to the right
-45^x=-8
x=-8/1
x=-8
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