To solve the equation [tex]\(1.4x + 6.1 = -7.9\)[/tex]:
1. The first step is to subtract 6.1 on both sides.
[tex]\[
1.4x + 6.1 - 6.1 = -7.9 - 6.1
\][/tex]
Simplifying the equation, we get:
[tex]\[
1.4x = -14.0
\][/tex]
2. The second step is to divide by 1.4 on both sides.
[tex]\[
\frac{1.4x}{1.4} = \frac{-14.0}{1.4}
\][/tex]
Simplifying it further, we find:
[tex]\[
x = -10.0
\][/tex]
Therefore, the solution is [tex]\(x = -10.0\)[/tex].