To analyze Sara-Mei's steps and determine her conclusion, let's carefully evaluate the equation-solving process:

Original equation:

$2x + 3 = 4(x - 3) - 2x + 12x + 3 = 4(x - 3) - 2x + 1$

This expression contains redundancy (the equation is repeated in some form). Let's simplify it:

Step 1: Distribute terms:

$2x + 3 = 4x - 12 - 2x + 12x + 3$

and

$= 4x - 12 - 2x + 1$

Step 2: Combine like terms:

On the left: $2x + 3 = 2x - 11$

Step 3: Eliminate $2x$ from both sides:

$2x - 2x + 3 = 2x - 2x - 11$

This simplifies to: $0 + 3 = 0 - 11$ or $3 = -11$

Step 4: Logical contradiction:

Since $3 \neq -11$, the equation produces a contradiction.

Conclusion:

When a contradiction arises during the solving process, it indicates that the equation has no solution.

Correct Answer:

B. The equation she is solving has no solution.

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Would you like more details or clarifications?
Here are 5 related questions you might find helpful:

1. What is the definition of a contradiction in solving equations?
2. How do you determine when an equation has infinitely many solutions?
3. What are the common steps for verifying an equation's solution?
4. Can equations with variables on both sides always be solved?
5. How do errors in algebraic manipulation affect the solution?

Tip: Always simplify and combine like terms early to avoid confusion in multi-step equations.