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event: delta_encoding
data: "v1"

event: delta
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: ping - 2025-01-24 05:22:40.823164+00:00

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event: delta
data: {"p": "/message/content/parts/0", "o": "append", "v": "First, let's"}   

event: delta
data: {"v": " solve the given equation"}      

event: delta
data: {"v": ":\n\n\\[\n5x +"} 

event: delta
data: {"v": " 35 = 7x - 60 + 10"}     

event: delta
data: {"v": ".\n\\]\n\n**Step 1: Simplify the right"} 

event: delta
data: {"v": "-hand side.**\n\n\\[\n7x - 60 +"}

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data: {"v": " 10 = 7x - 50.\n\\]\n"}  

event: delta
data: {"v": "So the equation becomes:\n\\[\n5x + 35"} 

event: delta
data: {"v": " = 7x - 50.\n\\]\n\n**Step"}     

event: delta
data: {"v": " 2: Bring like terms together.**\n\nSubtract \\(7"}      

event: delta
data: {"v": "x\\) from both sides:\n\\[\n5x -"}       

event: delta
data: {"v": " 7x + 35 = -50\n\\]\n"}  

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data: {"v": "\\[\n-2x + 35 = -50.\n"} 

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data: {"v": "\\]\n\n**Step 3: Solve for \\(x\\"}      

event: delta
data: {"v": ").**\n\n\\[\n-2x = -50 - "}      

event: delta
data: {"v": "35\n\\]\n\\[\n-2x = -85"}

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data: {"v": "\n\\]\n\\[\nx = \\frac{-85}{"}   

event: delta
data: {"v": "-2} = 42.5.\n\\]\n\nSo"} 

event: delta
data: {"v": ", \n\\[\nx = 42.5.\n\\"} 

event: delta
data: {"v": "]\n\n---\n\n## \u201cDivide the result root to 899999"}  

event: delta
data: {"v": "9922\u201d\n\nYour request seems to mean:  \n1."}

event: delta
data: {"v": " **Take the square root** of the result (i.e"}   

event: delta
data: {"v": "., \\(\\sqrt{42.5}\\)).  \n2"}   

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data: {"v": ". **Divide** that square root by \\(899999992"}  

event: delta
data: {"v": "2\\).\n\n### Step 1: Compute the square root"}   

event: delta
data: {"v": " of \\(42.5\\)\n\n\\[\n\\sqrt"}  

event: delta
data: {"v": "{42.5} \\approx 6.519202405"}    

event: delta
data: {"v": "2 \\quad (\\text{using a calculator})\n\\]\n\n"} 

event: delta
data: {"v": "### Step 2: Divide by \\(8999999922\\"}  

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data: {"v": ")\n\n\\[\n\\frac{\\sqrt{42.5}}{"}

event: delta
data: {"v": "8999999922} \\approx \\frac{6."} 

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data: {"v": "5192024052}{8999999922}.\n\\]\n\n"}      

event: delta
data: {"v": "Performing this division:\n\n\\[\n\\approx 7."}  

event: delta
data: {"v": "24 \\times 10^{-10} \\quad (\\text"}     

event: delta
data: {"v": "{in scientific notation})\n\\]\nor about\n\\[\n"}

event: delta
data: {"v": "0.000000000724 \\quad (\\text{in"}       

event: delta
data: {"v": " decimal form}).\n\\]\n\n---\n\n## Final Answer\n\n1"}   

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data: {"v": ". **\\(x = 42.5\\).**"}  

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data: {"v": "  \n2. **\\(\\dfrac{\\sqrt{"}    

event: delta
data: {"v": "42.5}}{8999999922} \\approx "}   

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data: {"v": "7.24 \\times 10^{-10}.\\)**"}    

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: ping - 2025-01-24 05:22:55.826779+00:00

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data: [DONE]
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