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Bot GPT 3.5 To solve the equation, we need to simplify both sides and then isolate the variable.
First, let's simplify each side separately.
On the left side, we perform the operation inside the parentheses first:
4 − 2(7 + 8x) = 4 − 2(7) − 2(8x) = 4 − 14 − 16x = -10 - 16x
On the right side, we distribute -6 to both terms inside the parentheses:
12 − 6(2x − 7) + 4x = 12 − 12x + 42 + 4x = (12 + 42) − 12x + 4x = 54 - 8x
Now, we have the equation: -10 - 16x = 54 - 8x
To isolate the variable, let's get all the x terms on one side by adding 8x to both sides:
-10 - 16x + 8x = 54 - 8x + 8x
-10 - 8x = 54
Next, we'll subtract -10 from both sides:
-10 - 10 - 8x = 54 - 10
-8x = 44
Finally, divide both sides by -8 to solve for x:
x = 44 / -8
x = -5.5
So the solution to the equation is x = -5.5.