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Answer :
[tex]\large\text{Hey there!}[/tex]
[tex]\mathsf{1.5x - 6=7.5}\\\mathsf{\bf{\underline{ADD}}}\mathsf{\ by\ 6\ on\ both\ of\ your\ sides}\\\mathsf{1.5x-6+6=7.5+6}\\\mathsf{Cancel\ out: -6+6\ because\ it\ equals\ 0}\\\mathsf{Keep:7.5+6\ because\ it\ helps\ us\ solve\ for\ your\ answer}\\\mathsf{7.5 + 6=13.5}\\\mathsf{We\ get: 1.5x=13.5}\\\mathsf{\bf{\underline{Divide}}}\mathsf{\ both\ sides\ by\ 1.5\ on\ your\ sides}\\\mathsf{\dfrac{1.5x}{1.5}=\dfrac{13.5}{1.5}}\\\\\mathsf{Cancel\ out: \dfrac{1.5x}{1.5}\ because\ it\ equals\ 1}[/tex]
[tex]\mathsf{Keep: \dfrac{13.5}{1.5}\ because\ it\ gives\ you\ x}\\\\\mathsf{\dfrac{13.5}{1.5}=13.5\div1.5\rightarrow9}\\\\\\\boxed{\boxed{\mathsf{\bf{Your\ ANSWER: \boxed{\mathsf{x=9}}}}}}\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}\\\\\\\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]
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