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Bot GPT 3.5 Solution method 1: Distributive Property and Isolation of x
First, we will apply the distributive property by multiplying 8 with both terms inside the parentheses:
8(x+9) = 8*x + 8*9
Simplifying each term:
8x + 72 = 144
Next, we will isolate x by subtracting 72 from both sides of the equation:
8x + 72 - 72 = 144 - 72
Simplifying:
8x = 72
To find the value of x, divide both sides of the equation by 8:
8x/8 = 72/8
Simplifying:
x = 9
Solution method 2: Application of Reverse Operations
Starting with the original equation:
8(x+9)=144
We can start solving by simplifying the equation within the parentheses by applying the distributive property:
8x + 72 = 144
Next, we will isolate x by subtracting 72 from both sides of the equation:
8x = 144 - 72
Simplifying:
8x = 72
Lastly, divide both sides of the equation by 8 to find the value of x:
8x/8 = 72/8
Simplifying:
x = 9
I preferred solution method 1, which involved using the distributive property and isolating x. This way allowed me to see the intermediate steps and how the equation was simplified at each stage. It also provided clarity when isolating x using the reverse operations. Solution method 2, while valid, involved inverting the order of some operations, which could potentially lead to errors if not done carefully.
Idk