To solve the equation \(1.5 \cdot 1.6 + x + 0.6 = 40\), first calculate \(1.5 \cdot 1.6\):
\[ 1.5 \cdot 1.6 = 2.4 \]
Now, the equation becomes:
\[ 2.4 + x + 0.6 = 40 \]
Next, combine the constants on the left side:
\[ 2.4 + 0.6 = 3.0 \]
So, the equation simplifies to:
\[ 3.0 + x = 40 \]
Now, isolate \(x\) by subtracting 3.0 from both sides:
\[ x = 40 - 3.0 \] \[ x = 37.0 \]
Therefore, the solution is:
\[ x = 37 \]