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Answer: 7
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Absolute value is the distance between that number and zero. To find the absolute value, you basically just take the negative sign away if there is one. So you need to find the absolute value of 4x+6. Since you can't simplify this equation, you just keep it the way it is. The absolute value of 4x+6 is 4x+6.
So now you have 4x + 6 - 1. Since 6 and 1 are both constant variables, you can directly subtract it. 6-1 equals 5. Now you have 4x-5.
Now you have 4x-5 = -1 = 3x. You should isolate the variables as well as "removing" an equal sign. To bring away the -1, you have to add 1. -1 + 1 equals 0, AKA nothing. But you also have to do it with all the other expressions too...
4x - 5 + 1 = 4x-6
3x+1 = 3x+1
Now the equation is 4x-6 = 3x+1
So now you have to get rid of the 6. To do that, add 6 to each side of the equation.
4x-6+6 = 4x
3x+1+6 = 3x+7
Now the equation is 4x = 3x+7
Did you notice that you have to add 1x to 3x to get 4x?
3x+1x = 4x (AKA the left side of the equation)
Also, you added the 7.
So that means 7 is the 1x.
So x equals 7.
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