Let's solve the equation \(103x + 211.2x = -2\) step-by-step.
1. Combine like terms on the left side of the equation:
[tex]\[
103x + 211.2x = (103 + 211.2)x = 314.2x
\][/tex]
So the equation becomes:
[tex]\[
314.2x = -2
\][/tex]
2. Solve for \(x\) by isolating it. To do this, divide both sides of the equation by 314.2:
[tex]\[
x = \frac{-2}{314.2}
\][/tex]
3. Perform the division: Given the answer from performing this division, we find that:
[tex]\[
x \approx -0.006365372374283896
\][/tex]
So, the solution to the equation \(103x + 211.2x = -2\) is:
[tex]\[
x \approx -0.006365372374283896
\][/tex]
