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Bot GPT 3.5 To solve for x, let's simplify the equation step by step:
First, distribute the 5/8 to the terms inside the parentheses:
(5/8) * (x + 1/2)
This simplifies to:
(5/8) * x + (5/8) * (1/2)
Next, simplify further:
(5/8) * x + 5/16
Set this expression equal to 100:
(5/8) * x + 5/16 = 100
To isolate the x term, subtract 5/16 from both sides of the equation:
(5/8) * x = 100 - 5/16
Simplify the right side of the equation:
(5/8) * x = 1595/16
To solve for x, we need to get rid of the coefficient of x which is (5/8). Multiply both sides of the equation by the reciprocal of (5/8), which is (8/5):
(8/5) * (5/8) * x = (8/5) * (1595/16)
Simplify:
1 * x = 3184/16
Simplify the right side of the equation:
x = 199/2
So the solution is x = 199/2, which can be expressed as 99.5.