$8899 - 6644 - 3322 = x - 1122$

Concept & Logic This is a linear algebraic equation involving subtraction. The goal is to isolate the unknown variable $x$ on one side by simplifying the constants on the other side. Step-by-Step Solution * The given equation is: $$8899 - 6644 - 3322 = x - 1122$$ * First, simplify the left-hand side (LHS) by subtracting $6644$ from $8899$: $$8899 - 6644 = 2255$$ * Substitute this back into the LHS and perform the next subtraction: $$2255 - 3322 = -1067$$ * Now substitute the simplified LHS back into the full equation: $$-1067 = x - 1122$$ * Isolate $x$ by adding $1122$ to both sides: $$x = 1122 - 1067$$ $$x = 55$$ Exam Strategy & Shortcut You can solve this purely by looking at the last two digits of each number since the options are all two-digit numbers ending in 5. LHS last two digits: $99 - 44 - 22 = 33$. Equation becomes: $33 = x - 22$ (looking only at the tens and units places). So, $x = 33 + 22 = 55$. This matches option (a) instantly. Common Pitfall A common error is mishandling the negative signs, particularly calculating $2255 - 3322$ as positive $1067$ instead of negative, which would lead to an incorrect larger number when adding $1122$. Final Answer **Therefore, the correct answer is 55.**