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How many solutions can be found for the equation −4x − 11 = 2(x − 3x) + 13? (4 points) none or one or two or infinitrly many

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MarkV
Hi there!

[tex] - 4x - 11 = 2(x - 3x) + 13[/tex]
First we work out the parenthesis.

[tex] - 4x - 11 = 2x - 6x + 13[/tex]
Collect terms.

[tex] - 4x - 11 = - 4x + 13[/tex]
Add 11 to both sides of the equation.

[tex] - 4x = - 4x + 24[/tex]
Now we can conclude that this equation does not have any solutions, because the right side of the equation will always be 24 bigger. There are no values of x that make the equation true.

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