The question is an illustration of a linear equation
The solution to the equation [tex]-\frac 12x + 1 = -x+8[/tex] is [tex]x =14[/tex]
These are equations that have constant rates or slopes
The equation is given as:
[tex]-\frac 12x + 1 = -x+8[/tex]
Collect like terms in the above equation
[tex]-\frac 12x + x=8 - 1[/tex]
Evaluate the like terms
[tex]\frac 12x=7[/tex]
Multiply both sides of the equation by 2
[tex]x =14[/tex]
Hence, the value of x is 14
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