Certainly! Let's solve the equation step-by-step.
Given the equation:
[tex]\[
\frac{1 - 3x}{5} = -7
\][/tex]
We want to clear the fraction by multiplying both sides of the equation by 5:
[tex]\[
5 \cdot \frac{1 - 3x}{5} = -7 \cdot 5
\][/tex]
When we multiply both sides, the left-hand side simplifies to:
[tex]\[
1 - 3x
\][/tex]
And the right-hand side simplifies to:
[tex]\[
-35
\][/tex]
So the equation now is:
[tex]\[
1 - 3x = -35
\][/tex]
Therefore, the number that should be placed in the green box is:
[tex]\[
-35
\][/tex]
