Let's solve the equation step by step:
Start with the equation: \[ (49 \cdot x - 36) + 27 = 1000 \div 25 \]
Simplify the right side: \[ 1000 \div 25 = 40 \] So the equation becomes: \[ (49 \cdot x - 36) + 27 = 40 \]
Combine the constants on the left side: \[ 49 \cdot x - 36 + 27 = 40 \] This simplifies to: \[ 49 \cdot x - 9 = 40 \]
Add 9 to both sides: \[ 49 \cdot x = 40 + 9 \] Which simplifies to: \[ 49 \cdot x = 49 \]
Divide both sides by 49: \[ x = 49 \div 49 \] This simplifies to: \[ x = 1 \]
Thus, the solution to the equation is: \[ \boxed{1} \]
