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To solve the equation 3x - 1/2 = 3.5 × 2, let's first simplify the right side: 3.5 × 2 = 7 Now the equation becomes: 3x - 1/2 = 7 To isolate x, let's add 1/2 to both sides of the equation: 3x - 1/2 + 1/2 = 7 + 1/2 This simplifies to: 3x = 7 + 1/2 To add 7 and 1/2, we need to find a common denominator, which is 2: 7 + 1/2 = 14/2 + 1/2 = 15/2 Now the equation becomes: 3x = 15/2 To solve for x, divide both sides of the equation by 3: (3x)/3 = (15/2)/3 This simplifies to: x = 15/6 To simplify the fraction 15/6, we can divide the numerator and denominator by their greatest common divisor, which is 3: x = (15/3)/(6/3) = 5/2 Therefore, the solution to the equation 3x - 1/2 = 3.5 × 2 is x = 5/2.
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