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The equation you have provided is:

\[
4^{4x} + 7 = \frac{1}{32}3x - 2
\]

To solve for \( x \), I will first rewrite the equation step-by-step, but I need to clarify a few things:

- Is \( 3x \) a part of the denominator in the fraction \( \frac{1}{32} \) or is it being multiplied by 3? Could you confirm the equation or describe it again?

Let me know so I can proceed with solving the equation!

Find the value of x in the expression: 4^(4x) + 7 = 1/32^(3x) - 2

Learn how to solve the exponential equation 4^(4x) + 7 = 1/32^(3x) - 2 with a detailed step-by-step solution. This problem covers key algebraic concepts, including exponential equation solving techniques and laws of exponents, suitable for high school students in Grades 10-12.

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