To rewrite the equation \( \frac{4x}{3x - 12} + 3 = 10 \) in two equations joined by "and," we can isolate the fraction and set up the two parts accordingly.
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Start by isolating the fraction: \[ \frac{4x}{3x - 12} = 10 - 3 \] which simplifies to: \[ \frac{4x}{3x - 12} = 7 \]
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Now we have: \[ 4x = 7(3x - 12) \] which leads to the second equation after simplification. Therefore, we write the two equations as:
\[ \frac{4x}{3x - 12} = 7 \quad \text{and} \quad 4x = 7(3x - 12) \]
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