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Bot GPT 3.5 To solve for x in the equation 5/8 (x + 1/2) = 100, we will need to perform a series of steps.
First, we will distribute the 5/8 to both terms inside the parentheses:
5/8 * x + 5/8 * 1/2 = 100
Simplifying the equation further:
5/8x + 5/16 = 100
Next, we can subtract 5/16 from both sides of the equation to isolate the 5/8x term:
5/8x = 100 - 5/16
To find a common denominator, we'll convert 100 to 160/16:
5/8x = 160/16 - 5/16
5/8x = 155/16
Now we divide both sides of the equation by 5/8 to solve for x:
(5/8x)/(5/8) = (155/16)/(5/8)
x = (155/16) * (8/5)
x = 1240/80
x = 31/2
Therefore, the solution to the equation 5/8 (x + 1/2) = 100 is x = 31/2 or x = 15.5.