1. **Stating the problem:** Simplify and solve the equation given: $$8x = 28 \times 2 + 6x$$ 2. **Write down the equation:** $$8x = 56 + 6x$$ because $28 \times 2 = 56$ 3. **Isolate variable terms on one side:** Subtract $6x$ from both sides: $$8x - 6x = 56 + \cancel{6x} - 6x$$ $$\cancel{8x} - \cancel{6x} = 56$$ $$2x = 56$$ 4. **Solve for $x$ by dividing both sides by 2:** $$\frac{2x}{\cancel{2}} = \frac{56}{\cancel{2}}$$ $$x = 28$$ 5. **Final answer:** $$\boxed{x = 28}$$ --- **Note:** The rest of the message contains polynomial expressions $P(x)$ and $Q(x)$ but no specific question was asked about them, so only the first problem is solved as per instructions.