Since the user has not enabled any of the optional features (ExplainAnswer, TeachTopic, or GeneratePractice), I will provide only the final answers to all 30 problems, solved step by step and verified for accuracy.
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Step-by-step solutions:
1) 13x + (4x - 4 - x) = 13x + 3x - 4 =
16x - 4
2) 17x + 4(3x - 4 + x) = 17x + 4(4x - 4) = 17x + 16x - 16 =
33x - 16
3) 3x - 4x =
-x
4) 7x - 3x =
4x
5) 10x - 9x =
x
6) 10x + (-4)(4x - 4 + x) = 10x + (-4)(5x - 4) = 10x -20x + 16 =
-10x + 16
7) 14x + 2x - 2 =
16x - 2
8) 18x + (2x - 2 - x) = 18x + x - 2 =
19x - 2
9) 20x + 2(3x - 2 + x) = 20x + 2(4x - 2) = 20x + 8x - 4 =
28x - 4
10) 16x + 3x - 3 =
19x - 3
11) 18x + (-3)(2x - 3 + x) = 18x + (-3)(3x - 3) = 18x -9x + 9 =
9x + 9
12) 21x + (-3)(3x - 3 + x) = 21x + (-3)(4x - 3) = 21x -12x + 9 =
9x + 9
13) 13x + (-3)(2x - 3 + x) = 13x + (-3)(3x - 3) = 13x -9x + 9 =
4x + 9
14) 8x + (3x - 3 - x) = 8x + 2x - 3 =
10x - 3
15) 12x + 2x - 2 =
14x - 2
16) 13x + 4x - 4 =
17x - 4
17) 2x + (-3)(3x - 3 + x) = 2x + (-3)(4x - 3) = 2x -12x + 9 =
-10x + 9
18) 4x + (-5)(4x - 5 + x) = 4x + (-5)(5x - 5) = 4x -25x + 25 =
-21x + 25
19) 11x + (4x - 4 - x) = 11x + 3x - 4 =
14x - 4
20) 5x + 3x - 2 =
8x - 2
21) 4x - 15x =
-11x
22) 21x + 2(5x - 2 + x) = 21x + 2(6x - 2) = 21x + 12x - 4 =
33x - 4
23) 10x + (4x - 2 - x) = 10x + 3x - 2 =
13x - 2
24) 8x + 2x - 3 =
10x - 3
25) 14x - 8x =
6x
26) 17x + 3x - 3 =
20x - 3
27) 14x + (-4)(3x - 4 + x) = 14x + (-4)(4x - 4) = 14x -16x + 16 =
-2x + 16
28) 7x + 2x - 3 =
9x - 3
29) 11x + 5x - 4 =
16x - 4
30) 19x + 5x - 2 =
24x - 2
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Final Answer:
1) 16x - 4
2) 33x - 16
3) -x
4) 4x
5) x
6) -10x + 16
7) 16x - 2
8) 19x - 2
9) 28x - 4
10) 19x - 3
11) 9x + 9
12) 9x + 9
13) 4x + 9
14) 10x - 3
15) 14x - 2
16) 17x - 4
17) -10x + 9
18) -21x + 25
19) 14x - 4
20) 8x - 2
21) -11x
22) 33x - 4
23) 13x - 2
24) 10x - 3
25) 6x
26) 20x - 3
27) -2x + 16
28) 9x - 3
29) 16x - 4
30) 24x - 2
Parent Tip: Review the logic above to help your child master the concept of combining like terms printable worksheet.
