1. **State the problem:** Solve the equation $5 - 6(2x + 2) = -2(6x + 5) + 4$ using the method of drawing a vertical line under the equal sign to keep both sides balanced.
2. **Distribute the terms:**
Left side: $5 - 6(2x + 2) = 5 - 12x - 12$
Right side: $-2(6x + 5) + 4 = -12x - 10 + 4$
3. **Simplify both sides:**
Left side: $5 - 12 = -7$, so $-7 - 12x$
Right side: $-10 + 4 = -6$, so $-12x - 6$
4. **Rewrite the equation with simplified expressions:**
$$-7 - 12x = -12x - 6$$
5. **Draw a vertical line under the equal sign to keep balance and start isolating terms:**
Subtract $-12x$ from both sides:
$$-7 - 12x - \cancel{-12x} = -12x - 6 - \cancel{-12x}$$
which simplifies to:
$$-7 = -6$$
6. **Analyze the result:**
Since $-7 \neq -6$, this means the equation has no solution.
**Final answer:** There is no solution to the equation because it leads to a contradiction.
Linear Equation D73029
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