To find the value of \( x \) based on the expressions given for \( A \), \( B \), and \( C \), we need more information about the relationship between \( A \), \( B \), and \( C \). However, if we assume that \( A \), \( B \), and \( C \) are equal, we can set up the equations accordingly.
Let's set \( A = B \), \( A = C \), and \( B = C \) to find potential values for \( x \).
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Setting \( A = B \): \[ 3x = 2x + 4 \] Subtract \( 2x \) from both sides: \[ 3x - 2x = 4 \implies x = 4 \]
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Setting \( A = C \): \[ 3x = 5x + 6 \] Subtract \( 5x \) from both sides: \[ 3x - 5x = 6 \implies -2x = 6 \implies x = -3 \]
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Setting \( B = C \): \[ 2x + 4 = 5x + 6 \] Rearranging gives: \[ 4 - 6 = 5x - 2x \implies -2 = 3x \implies x = -\frac{2}{3} \]
So, depending on which relationships you are considering among \( A \), \( B \), and \( C \), you will get different values for \( x \):
- From \( A = B \), \( x = 4 \)
- From \( A = C \), \( x = -3 \)
- From \( B = C \), \( x = -\frac{2}{3} \)
Please clarify if you want to equate them, or if there is another specific relationship or value to consider!