Explanation:
The equation is given below as
[tex]0.25x+0.05\left(66-x\right)=6.70[/tex]Step 1:
Open up the parenthesis using the distributive property of multiplication
[tex]\begin{gathered} 0.25x+0.05(66-x)=6.70 \\ 0.25x+3.3-0.05x=6.70 \end{gathered}[/tex]Step 2:
Collect similar terms, we will have
[tex]\begin{gathered} 0.25x+3.3-0.05x=6.70 \\ 0.25x-0.05x=6.70-3.3 \\ 0.20x=3.4 \\ divide\text{ both sides by 0.20} \\ \frac{0.20x}{0.20}=\frac{3.4}{0.2} \\ x=17 \end{gathered}[/tex]Hence,
The final ansswer is
[tex]x=17[/tex]
