Question

1) 3 (х+5)+4х= 2) 8(7+х)-3х 3) 9(х-7)+6х 4) 5(х+8)-11 5) 2(13+х)-15 6) 6(х+5)+2х

Answer 1

1) 3(х+5)+4х=3х+15+4х=7х+15
2) 8(7+х)-3х=56+8х-3х=56+5х
3) 9(х-7)+6х=9х-63+6х=15х-63
4) 5(х+8)-11=5х+40-11=5х+29
5) 2(13+х)-15=26+2х-15=11+2х
6) 6(х+5)+2х=6х+30+2х=8х+30

Answer 2

To simplify each of the given expressions, follow these steps:

1. 3(х + 5) + 4х

First, distribute the 3 to the terms inside the parentheses: 3 * х + 3 * 5 + 4х

Simplify: 3х + 15 + 4х

Combine like terms: 3х + 4х + 15

Add the x terms: (3 + 4)х + 15

Final result: 7х + 15

2. 8(7 + х) - 3х

Distribute the 8 to the terms inside the parentheses: 8 * 7 + 8 * х - 3х

Simplify: 56 + 8х - 3х

Combine like terms: (8 - 3)х + 56

Final result: 5х + 56

3. 9(х - 7) + 6х

Distribute the 9 to the terms inside the parentheses: 9 * х - 9 * 7 + 6х

Simplify: 9х - 63 + 6х

Combine like terms: 9х + 6х - 63

Add the x terms: (9 + 6)х - 63

Final result: 15х - 63

4. 5(х + 8) - 11

Distribute the 5 to the terms inside the parentheses: 5 * х + 5 * 8 - 11

Simplify: 5х + 40 - 11

Combine like terms: 5х + 29

5. 2(13 + х) - 15

Distribute the 2 to the terms inside the parentheses: 2 * 13 + 2 * х - 15

Simplify: 26 + 2х - 15

Combine like terms: 2х + 11

6. 6(х + 5) + 2х

Distribute the 6 to the terms inside the parentheses: 6 * х + 6 * 5 + 2х

Simplify: 6х + 30 + 2х

Combine like terms: 6х + 2х + 30

Add the x terms: (6 + 2)х + 30

Final result: 8х + 30

So, the simplified expressions are:

1. 7х + 15
2. 5х + 56
3. 15х - 63
4. 5х + 29
5. 2х + 11
6. 8х + 30