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\( x=1 \)
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To solve the equation \( 66 x - 3 = 63 \), start by adding 3 to both sides: \[ 66 x - 3 + 3 = 63 + 3 \] This simplifies to: \[ 66 x = 66 \] Next, divide both sides by 66: \[ x = \frac{66}{66} \] Thus, the solution is: \[ x = 1 \] Now, let’s check if this solution holds true by substituting \( x = 1 \) back into the original equation: \( 66(1) - 3 = 66 - 3 = 63 \), which is correct! Therefore, our solution \( x = 1 \) is validated.