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343=49^x-5
We move all terms to the left:
343-(49^x-5)=0
We get rid of parentheses
-49^x+5+343=0
We add all the numbers together, and all the variables
-49^x+348=0
We move all terms containing x to the left, all other terms to the right
-49^x=-348
x=-348/1
x=-348
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