Question

I really need help on this!!

Answer 1

(4x + x - 11 - 5x + 25 + 4x) is equivalent to (4x + 14)

(5 + 9x - 7 - 4x - 3x + 6) is equivalent to (2x + 4)

(3x + 5 - 2x - 5x + 9 + 8x) is equivalent to (4x + 14)

(x + 8 + 4x - 3x - 4) is equivalent to (2x + 4)

(6x - 9 - 5x + 4 - x + 5x + 5) is equivalent to 5x

(x - 3 + 2x + 3 + 2x) is equivalent to 5x

Explanation:

The three expressions in blue are simplified, while the six expressions in white are not simplified.

For the six white expressions, we can combine like terms to simplify, which will help us identify their equivalent expressions:

Simplifying (4x + x - 11 - 5x + 25 + 4x):

(4x + x - 5x + 4x) + (-11 + 25)

(5x - x) + 14

4x + 14

Therefore, (4x + x - 11 - 5x + 25 + 4x) is equivalent to (4x + 14).

Simplifying (5 + 9x - 7 - 4x - 3x + 6):

(9x - 4x - 3x) + (5 - 7 + 6)

(5x - 3x) + (-2 + 6)

2x + 4

Therefore, (5 + 9x - 7 - 4x - 3x + 6) is equivalent to (2x + 4).

Simplifying (3x + 5 - 2x - 5x + 9 + 8x):

(3x - 2x - 5x + 8x) + (5 + 9)

(x + 3x) + 14)

4x + 14

Therefore, (3x + 5 - 2x - 5x + 9 + 8x) is equivalent to (4x + 14).

Simplifying (x + 8 + 4x - 3x - 4):

(x + 4x - 3x) + (8 - 4)

(5x - 3x) + 4

2x + 4

Therefore, (x + 8 + 4x - 3x - 4) is equivalent to (2x + 4).

Simplifying (6x - 9 - 5x + 4 - x + 5x + 5):

(6x - 5x - x + 5x) + (-9 + 4 + 5)

(x + 4x) + (-5 + 5)

5x

Therefore, (6x - 9 - 5x + 4 - x + 5x + 5) is equivalent to 5x.

Simplifying (x - 3 + 2x + 3 + 2x):

(x + 2x + 2x) + (-3 + 3)

(3x + 2x)

5x

Therefore, (x - 3 + 2x + 3 + 2x) is equivalent to 5x.

Answer 2

see below

Explanation:

Combine the LIKE terms:
1. Group together the terms that have x's, then combine by adding/subtracting the coefficients (the numbers in front of the x's). The power on the x's won't change.
2. Group together the terms that have only numbers, then add/subtract them.

4x+x-11-5x+25+4x = 4x+x-5x+4x -11+25 = (4+1-5+4)x +14 = 4x+14

x+8+4x-3x-4 = x+4x-3x +8-4 = (1+4-3)x +4 = 2x+4

5+9x-7-4x-3x+6 = 9x-4x-3x +5-7+6 = (9-4-3)x +4 = 2x+4

6x-9-5x+4-x+5x+5 = (6-5-1+5)x -9+4+5 = 5x+0 = 5x

3x+5-2x-5x+9+8x = (3-2-5+8)x +5+9 = 4x+14

x-3+2x+3+2x = (__ ___ ___)x -__+__ =