Question

Simplify each expression

Answer 1

Solution (5):

Simplifying the expression.

• (8x + 1) + (-x + 7)
• => 8x + 1 - x + 7
• => 7x + 8

Solution (6):

Simplifying the expression.

• (8x - 3) - (3x + 1)
• => (8x - 3) + (-3x - 1)
• => 8x - 3 - 3x - 1
• => 5x - 4

Solution (7):

Simplifying the expression.

• (2x + 7) + (4x - 10)
• => 2x + 7 + 4x - 10
• => 6x - 3

Solution (8):

Simplifying the expression.

• (-7x + 2) - (3x - 3)
• => (-7x + 2) - 3x + 3
• => -7x + 2 - 3x + 3
• => -10x + 5

Answer 2

`\qquad \qquad\huge \underline{\boxed{\sf Answer}}`

Let's solve ~

First ~

`\qquad \sf  \dashrightarrow \: (8x + 1) + ( - x + 7)`

`\qquad \sf  \dashrightarrow \: 8x + 1 - x + 7`

`\qquad \sf  \dashrightarrow \: 8x - x + 1 + 7`

`\qquad \sf  \dashrightarrow \: 7x + 8`

Second ~

`\qquad \sf  \dashrightarrow \: (8x - 3) - (3 x + 1)`

`\qquad \sf  \dashrightarrow \: 8x - 3 - 3x - 1`

`\qquad \sf  \dashrightarrow \: 8x - 3x - 3 - 1`

`\qquad \sf  \dashrightarrow \: 5x - 4`

Third ~

`\qquad \sf  \dashrightarrow \: (2x + 7) + (4x - 10)`

`\qquad \sf  \dashrightarrow \: 2x + 7 + 4x - 10`

`\qquad \sf  \dashrightarrow \: 2x + 4x + 7 - 10`

`\qquad \sf  \dashrightarrow \: 6x - 3`

Fourth ~

`\qquad \sf  \dashrightarrow \: (- 7x + 2) - (3x - 3)`

`\qquad \sf  \dashrightarrow \: - 7x + 2 - 3x + 3`

`\qquad \sf  \dashrightarrow \: - 7x - 3x + 2 + 3`

`\qquad \sf  \dashrightarrow \: - 10x + 5`