To solve the equation \( 4.1x - 2.9x + 7.5 = 7.98 \), follow these steps:
Combine like terms on the left side:
\[ (4.1x - 2.9x) + 7.5 = 7.98 \]
This simplifies to:
\[ 1.2x + 7.5 = 7.98 \]
Subtract 7.5 from both sides of the equation:
\[ 1.2x = 7.98 - 7.5 \]
This simplifies to:
\[ 1.2x = 0.48 \]
Finally, divide both sides by 1.2 to isolate \( x \):
\[ x = \frac{0.48}{1.2} \]
Calculate the division:
\[ x = 0.4 \]
So the solution is:
\[ x = 0.4 \]