Question

Which expression is equivalent to 4+x+x+2x+5+3+x?

Answer 1

B. 5x + 12.

Explanation:

`4 + x + x + 2x + 5 + 3 + x = ?`

Whenever you see variables without a visible coefficient, imagine there is a '1' in front of the variable.

`4 +(1)x+(1)x+2x+5+3+(1)x=?`

From here, you can combine like terms.

Remember, combine means to add.

Like terms are terms whose variables (such as x or y) with any exponents are the same (such as x² or y²).

`(1)x+(1)x+2x+(1)x=5x.`

`4+5+3=12.`

`4+(1)x+(1)x+2x+5+3+(1)x=5x+12.`

I, therefore believe 5x + 12 is equal to 4 + x + x + 2x + 5 + 3 + x.

Answer 2

`\longrightarrow{\blue{B.\:5x\:+\:12}}`

`\large\mathfrak{{\pmb{\underline{\purple{Step-by-step\:explanation}}{\purple{:}}}}}`

`4 + x + x + 2x + 5 + 3 + x`

Combining like terms, we have

`= x + x + 2x + x + 4 + 5 + 3`

Next, add them

`= 5x + 12`

Therefore, ''
`\sf\pink{4 + x + x + 2x + 5 + 3 + x}`" is equivalent to "
`\sf\purple{5x\:+\:12}`."

`\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}`