Subjects algebra

Expression Simplification 688301

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1. **State the problem:** Simplify the algebraic expression: $$-02 + 2x - 11 - 5x - 9x - 5 + 11x + 7x - 6x$$ 2. **Rewrite the expression clearly:** $$-0 \, 2 + 2x - 11 - 5x - 9x - 5 + 11x + 7x - 6x$$ Note: Assuming "-02" means $-0 \times 2 = 0$, so it can be treated as 0. 3. **Group like terms:** Constants: $$-11 - 5 = -16$$ $x$ terms: $$2x - 5x - 9x + 11x + 7x - 6x$$ 4. **Sum the $x$ terms:** $$2x - 5x = \cancel{2x} - 5x = -3x$$ $$-3x - 9x = -12x$$ $$-12x + 11x = -x$$ $$-x + 7x = 6x$$ $$6x - 6x = \cancel{6x} - 6x = 0$$ 5. **Combine all terms:** $$0 - 16 + 0 = -16$$ 6. **Final answer:** $$\boxed{-16}$$ This means the entire expression simplifies to $-16$.