To solve the equation \( 70 - 4x = 30 + 4x \), we need to isolate \( x \).
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Start by adding \( 4x \) to both sides:
\[ 70 - 4x + 4x = 30 + 4x + 4x \]
This simplifies to:
\[ 70 = 30 + 8x \]
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Next, we subtract 30 from both sides:
\[ 70 - 30 = 30 + 8x - 30 \]
This simplifies to:
\[ 40 = 8x \]
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Now, divide both sides by 8:
\[ x = \frac{40}{8} = 5 \]
Thus, Classroom A sent 5 groups of students to Classroom B.