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To solve this equation for x, we first need to simplify the equation:
5/8 (x + 1/2) = 100
Multiplying both sides of the equation by 8/5 will eliminate the fraction:
(8/5)(5/8)(x + 1/2) = (8/5) * 100
This simplifies to:
(x + 1/2) = 160
Next, subtracting 1/2 from both sides of the equation:
x = 160 - 1/2
This can be simplified as:
x = 319/2
Therefore, x = 319/2