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[tex]\large\boxed{\begin{array}{l}\sf\dfrac{x}{2}+\dfrac{x}{6}=4\\\underline{\rm multiplicando~os~dois~lados~por~6~temos\!:}\\\sf 6\cdot\dfrac{x}{2}+6\cdot\dfrac{x}{6}=4\cdot6\\\underline{\rm simplificando~temos\!:}\\\sf \diagup\!\!\!\!6~^3\cdot\dfrac{x}{\diagup\!\!\!\!2}+\diagup\!\!\!\!6\cdot\dfrac{x}{\diagup\!\!\!\!6}=24\\\sf 3x+x=24\\\sf 4x=24\\\sf x=\dfrac{24}{4}\\\sf x=6\end{array}}\blue{\checkmark}[/tex]
