3 \left( { x }_{ 0 } + \Delta x \right) +8-(3 { x }_{ 0 } +8)
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3x\Delta
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3x_{0}+3\Delta x+8-\left(3x_{0}+8\right)
Use the distributive property to multiply 3 by x_{0}+\Delta x.
3x_{0}+3\Delta x+8-3x_{0}-8
To find the opposite of 3x_{0}+8, find the opposite of each term.
3\Delta x+8-8
Combine 3x_{0} and -3x_{0} to get 0.
3\Delta x
Subtract 8 from 8 to get 0.
3x_{0}+3\Delta x+8-\left(3x_{0}+8\right)
Use the distributive property to multiply 3 by x_{0}+\Delta x.
3x_{0}+3\Delta x+8-3x_{0}-8
To find the opposite of 3x_{0}+8, find the opposite of each term.
3\Delta x+8-8
Combine 3x_{0} and -3x_{0} to get 0.
3\Delta x
Subtract 8 from 8 to get 0.
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