If the image is blurry the answer choices are -1,0,1,2,and 3. The question says select each correct answer

Answer:
Step-by-step explanation:
There is no algebraic way to solve such an equation. It can be simplified to ...
[tex]-2x-6=-2^x-6\\\\2x-2^x=0\qquad\text{add $2x+6$}[/tex]
This has solutions at x=1 and x=2 as shown in the attached graph.
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The second attachment shows the functions graphed on the same graph.