To solve the equation \( 22 = 4 + 5 \times 9 \times x - 6 \), we will first simplify the right side:
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Combine \( 4 \) and \( -6 \): \[ 4 - 6 = -2 \] Thus, the equation becomes: \[ 22 = -2 + 5 \times 9 \times x \]
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Add \( 2 \) to both sides: \[ 22 + 2 = 5 \times 9 \times x \] So: \[ 24 = 5 \times 9 \times x \]
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Calculate \( 5 \times 9 \): \[ 5 \times 9 = 45 \] Now the equation simplifies to: \[ 24 = 45x \]
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To solve for \( x \), divide both sides by \( 45 \): \[ x = \frac{24}{45} \]
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Now, let's reduce \( \frac{24}{45} \): The greatest common divisor (GCD) of \( 24 \) and \( 45 \) is \( 3 \): \[ \frac{24 \div 3}{45 \div 3} = \frac{8}{15} \]
Thus, the solution to the equation in reduced fraction form is: \[ x = \frac{8}{15} \]
The "undefined value" might refer to the range of undefined values for which \( x \) cannot take on specific values (for instance, in context of a domain restriction), but based on the processing of this algebraic equation, we have computed the value of \( x \).
Final answer: \[ \text{The undefined value is } \frac{8}{15}. \]
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