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The given equation is as shown below:
[tex]2x-6=3x+1-x-7[/tex]The value of x which will make the equation true as solved below
[tex]\begin{gathered} 2x-6=3x+1-x-7 \\ \text{collect like terms} \\ 2x-3x+x=1-7+6 \\ -x+x=-6+6 \\ 0=0 \end{gathered}[/tex]