Simplify this expression: 3(x + 4.5) + 2(2.6x – 3) 1. Distribute the 3 and 4 through the parentheses: 3(x) + 3(4.5) + 2(2.6x) - 2(3) 2. Find each product:
3x + 13.5 + 5.2x - 6 3. Combine like terms:

Respuesta :

In order to combine like terms, they have to first be organized. First combine the terms with the variable x, then the terms with no variables.

3x+13.5+5.2x-6
3x+5.2x=8.2x
13.5-6=7.5

The final simplified expression is 8.2x+7.5.

The simplified expression is [tex]\rm 8.2x+7.5[/tex].

Given that,

Expression; [tex]\rm 3(x + 4.5) + 2(2.6x - 3)[/tex]

We have to simplify the expression.

According to the question,

To simplify the expression following all the steps given below.

Expression; 3(x + 4.5) + 2(2.6x – 3)

  • Step1; Distribute the 3 and 4 through the parentheses,

                   [tex]\rm = 3(x + 4.5) + 2(2.6x - 3)\\\\ = 3(x)+3(4.5) + 2(2.6x)-2(3)[/tex]

  • Step2; Solve and find the product of each equation,

                    [tex]\rm = 3(x)+3(4.5) + 2(2.6x)-2(3)\\\\=3x+13.5+5.2x-6[/tex]

  • Step3; Combine like terms:

                    [tex]\rm = 3x+13.5+5.2x-6 \\\\= 3x+5.2x - 6+13.5\\\\=8.2x+7.5[/tex]

Hence, The required simplified expression is [tex]\rm 8.2x+7.5[/tex].

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