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150*2.5^x=300+400x
We move all terms to the left:
150*2.5^x-(300+400x)=0
We add all the numbers together, and all the variables
150*2.5^x-(400x+300)=0
Wy multiply elements
300x-(400x+300)=0
We get rid of parentheses
300x-400x-300=0
We add all the numbers together, and all the variables
-100x-300=0
We move all terms containing x to the left, all other terms to the right
-100x=300
x=300/-100
x=-3
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