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The image you provided presents a multiple-choice question that asks which of the given equations are equivalent based on the same solution.

Here is the analysis:

The original equation provided is:
\[
2x + 7 = 1 - 3x \quad \text{and} \quad 2x + 7 = 12 - 5x
\]

We are given four options, each suggesting a different pair of equivalent equations. The correct choice highlighted is:
\[
\text{The equations } 2x + 7 = 1 - 3x \quad \text{and} \quad x = -1 \quad \text{are equivalent

Which pair of the equations below are equivalent? Solve your reasoning.

2x + 7 = 1 - 3x and 2x + 7 = 12 - 5x

Discover how to determine if two linear equations are equivalent through algebraic manipulation. This problem is ideal for students in Grades 8-10, covering key concepts in algebra and equation solving.

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