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QuestionMathematics

Solve for x: 64x= 8 What is the value of x that makes the equation true?
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Answer

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Step 1:
I'll solve this step-by-step using the specified LaTeX formatting guidelines:

Step 2:
: Isolate the variable x

To solve the equation $$64x = 8$$, we need to divide both sides by 64 to isolate x.

Step 3:
: Divide both sides by 64

\frac{64x}{64} = \frac{8}{64}

Step 4:
: Simplify the equation

x = \frac{8}{64}

Step 5:
: Reduce the fraction

x = \frac{1}{8}

Final Answer

Verification: Let's check our solution by plugging it back into the original equation: 64 \cdot \frac{1}{8} = 8 \checkmark The solution x = \frac{1}{8} satisfies the original equation 64 x = 8.