Let's solve the equation step by step:
Start with the equation:
\[ 1.5 \cdot 1.6 + x + 0.6 = 40 \]
Calculate \( 1.5 \cdot 1.6 \):
\[ 1.5 \cdot 1.6 = 2.4 \]
Substitute that back into the equation:
\[ 2.4 + x + 0.6 = 40 \]
Simplify the left side. Combine \( 2.4 \) and \( 0.6 \):
\[ 2.4 + 0.6 = 3.0 \]
So, now the equation is:
\[ 3.0 + x = 40 \]
To isolate \( x \), subtract \( 3.0 \) from both sides:
\[ x = 40 - 3.0 \]
\[ x = 37.0 \]
Thus, the value of \( x \) is \( 37.0 \).