To solve the equation \((x + 40) \cdot 56 = 555\), follow these steps:
Divide both sides by 56 to isolate \(x + 40\):
\[ x + 40 = \frac{555}{56} \]
Calculate \(\frac{555}{56}\):
\[ \frac{555}{56} \approx 9.910714285714286 \]
(You can keep the fraction for more accuracy, or you can round it as needed).
Now, solve for \(x\) by subtracting 40 from both sides:
\[ x = \frac{555}{56} - 40 \]
To proceed with the subtraction, convert 40 to have a common denominator:
\[ 40 = \frac{40 \cdot 56}{56} = \frac{2240}{56} \]
Now, substitute back into the equation:
\[ x = \frac{555}{56} - \frac{2240}{56} \]
Combine the fractions:
\[ x = \frac{555 - 2240}{56} = \frac{-1685}{56} \]
You can simplify this fraction, if needed, or convert to decimal:
\[ x \approx -30.125 \]
Thus, the solution is:
\[ x = \frac{-1685}{56} \quad \text{or approximately} \quad -30.125 \]