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The given expression is
[tex]9.5y+3.5x=28[/tex]To find the x-intercept, we have to make y = 0. Let's do it.
[tex]\begin{gathered} 9.5(0)+3.5x=28 \\ 3.5x=28 \\ x=\frac{28}{3.5} \\ x=8 \end{gathered}[/tex]