To solve the equation, we can start by distributing the 0.24 to the terms inside the parentheses:
0.24(x - 10.2) = 6
0.24x - 2.448 = 6
Next, we can isolate the variable term by adding 2.448 to both sides of the equation:
0.24x = 6 + 2.448
0.24x = 8.448
Finally, we can solve for x by dividing both sides of the equation by 0.24:
x = 8.448 / 0.24
x ≈ 35.2
0.24(x - 10.2) = 6
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