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What will be the result of substituting 2 for x in both expressions below? One-half x + 4 x + 6 minus one-half x minus 2 Both expressions equal 5 when substituting 2 for x because the expressions are equivalent. Both expressions equal 6 when substituting 2 for x because the expressions are equivalent. One expression equals 5 when substituting 2 for x, and the other equals 2 because the expressions are not equivalent. One expression equals 6 when substituting 2 for x, and the other equals 2 because the expressions are not equivalent.

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MrRoyal

Answer:

Both expressions equal 5 when substituting 2 for x because both expressions are equivalent

Step-by-step explanation:

Given

[tex]\frac{1}{2}x + 4[/tex] - Expression 1

[tex]x + 6 - \frac{1}{2}x - 2[/tex] -- - Expression 2

Required

Find the result of both expressions when [tex]x = 2[/tex]

Expression 1

[tex]\frac{1}{2}x + 4[/tex]

Substitute [tex]x = 2[/tex]

[tex]\frac{1}{2} * 2 + 4[/tex]

[tex]1 + 4[/tex]

[tex]Result = 5[/tex]

Expression 2

[tex]x + 6 - \frac{1}{2}x - 2[/tex]

Substitute [tex]x = 2[/tex]

[tex]2 + 6 - \frac{1}{2} * 2 - 2[/tex]

[tex]2 + 6 -1 -2[/tex]

[tex]Result = 5[/tex]

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