Respuesta :

Equivalent expression is the expression which is equal to the original equation but the way of representation is different. The equivalent expression of the given expression are,

[tex]x+x+6-7+x[/tex]

[tex]3-x+2x-4+2x=3x-1[/tex]

Given information

The given expression in the problem is,

[tex]6+(-x)+2x+(-7)+2x[/tex]

Equivalent expression

Equivalent expression is the expression which is equal to the original equation but the way of representation is different.

The given equation is,

[tex]6+(-x)+2x+(-7)+2x[/tex]

As the product of the negative and positive is negative. Thus solve the equation by opening the bracket.

[tex]6+(-x)+2x+(-7)+2x=6-x+2x-7+2x\\ 6+(-x)+2x+(-7)+2x=-x+2x+2x+6-7\\ 6+(-x)+2x+(-7)+2x=3x-1[/tex]

Check all the option,

  • 1) The expression given in the option 1 is,

[tex]x+x+6-7+x[/tex]

Solve it further,

[tex]x+x+6-7+x=x+x+x+6-7\\ x+x+6-7+x=3x-1\\[/tex]

The result is equal to the result of the given expression. Thus the expression of the option 1 is equivalent to the expression given in the problem.

  • 2) The expression given in the option 2 is,

[tex]2x+2+x[/tex]

Solve it further,

[tex]2x+2+x=2x+x+2\\2x+2+x=3x+2[/tex]

The result is not equal to the result of the given expression. Thus the expression of the option 2 is not equivalent to the expression given in the problem.

  • 3) The expression given in the option 3 is,

[tex]3-x+2x-4+2x[/tex]

Solve it further,

[tex]3-x+2x-4+2x=3x-1[/tex]

The result is equal to the result of the given expression. Thus the expression of the option 3 is equivalent to the expression given in the problem.

  • 4) The expression given in the option 4 is,

[tex]x-1[/tex]

The expression of the option 4 is not equivalent to the expression given in the problem.

  • 5) The expression given in the option 4 is,

[tex]x+1[/tex]

The expression of the option 5 is not equivalent to the expression given in the problem.

Hence the equivalent expression of the given expression are,

[tex]x+x+6-7+x[/tex]

[tex]3-x+2x-4+2x=3x-1[/tex]

Learn more about the equivalent expression here;

https://brainly.com/question/10628562

Answer:

A, C edge 2022

Step-by-step explanation:

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