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-4\left(\frac{x}{2}+\frac{2\times 2}{2}\right)\times 2
To add or subtract expressions, expand them to make their denominators the same. Multiply 2 times \frac{2}{2}.
-4\times \frac{x+2\times 2}{2}\times 2
Since \frac{x}{2} and \frac{2\times 2}{2} have the same denominator, add them by adding their numerators.
-4\times \frac{x+4}{2}\times 2
Do the multiplications in x+2\times 2.
-8\times \frac{x+4}{2}
Multiply -4 and 2 to get -8.
-4\left(x+4\right)
Cancel out 2, the greatest common factor in 8 and 2.
-4x-16
Use the distributive property to multiply -4 by x+4.
-4\left(\frac{x}{2}+\frac{2\times 2}{2}\right)\times 2
To add or subtract expressions, expand them to make their denominators the same. Multiply 2 times \frac{2}{2}.
-4\times \frac{x+2\times 2}{2}\times 2
Since \frac{x}{2} and \frac{2\times 2}{2} have the same denominator, add them by adding their numerators.
-4\times \frac{x+4}{2}\times 2
Do the multiplications in x+2\times 2.
-8\times \frac{x+4}{2}
Multiply -4 and 2 to get -8.
-4\left(x+4\right)
Cancel out 2, the greatest common factor in 8 and 2.
-4x-16
Use the distributive property to multiply -4 by x+4.