Answer :
Step 1: Write out the equation
[tex]\begin{gathered} 4x-7=-35 \\ \end{gathered}[/tex]Step 2: Add 7 to both sides of the equation
[tex]\begin{gathered} 4x-7+7=-35+7 \\ \text{this implies that} \\ 4x=-28 \end{gathered}[/tex]Step 3: Divide both sides by 4
[tex]\begin{gathered} \frac{4x}{4}=-\frac{28}{4} \\ \text{Hence} \\ x=-7 \end{gathered}[/tex]Therefore, the value of x that makes the sentence true is -7