Subjects algebra

Simplify Expression 6E1619

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Question: Simplify: $27x-62-12c+27+(-28) c-11x+26x-27$
1. **State the problem:** Simplify the expression $$27x - 62 - 12c + 27 + (-28)c - 11x + 26x - 27$$. 2. **Group like terms:** Group the terms with $x$, $c$, and constants separately. $$ (27x - 11x + 26x) + (-12c - 28c) + (-62 + 27 - 27) $$ 3. **Simplify each group:** - For $x$ terms: $$27x - 11x + 26x = (27 - 11 + 26)x = 42x$$ - For $c$ terms: $$-12c - 28c = (-12 - 28)c = -40c$$ - For constants: $$-62 + 27 - 27 = -62 + (27 - 27) = -62 + 0 = -62$$ 4. **Write the simplified expression:** $$42x - 40c - 62$$ **Final answer:** $$\boxed{42x - 40c - 62}$$