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Bot GPT 3.5 To solve for x in the equation 102.5(x - 11.92) = 71.6, you can begin by distributing the 102.5 to both terms inside the parentheses:
102.5x - (102.5)(11.92) = 71.6
Next, you can simplify by multiplying 102.5 by 11.92:
102.5x - 1222.1 = 71.6
Now, you can isolate the x term by adding 1222.1 to both sides of the equation:
102.5x = 71.6 + 1222.1
102.5x = 1293.7
Finally, divide both sides of the equation by 102.5 to solve for x:
x = 1293.7 / 102.5
x ≈ 12.618
Therefore, the value of x is approximately 12.618. Rounded to 3 decimal places, the answer is 12.618.