Question

Expand and fully simplify 3(x + 1) + 2(3x + 4)​

Answer 1

• 
  `\Large\boxed{\sf{9x+11}}`

Explanation:

Given:

Isolate the term of x from one side of the equation.

Use the distributive property.

DISTRIBUTIVE PROPERTY:

`\Longrightarrow: \sf{A(B+C)=AB+AC}`

Each term within the parentheses can be multiplied by a factor outside the parentheses.

3(x+1)

3*x=3x

3*1=3

Rewrite the expression down.

3x+3

3x+3+2(3x+4)

Multiply expand.

2(3x+4)

2*3x=6x

2*4=8

6x+8

3x+3+6x+8

Combine like terms.

3x+6x+3+8

Add the numbers from left to right.

3+8=11

3x+6x+11

Add.

Solutions:

3x+6x=9x

`\Longrightarrow: \boxed{\sf{9x+11}}`

• Therefore, the final answer is 9x+11.

I hope this helps. Let me know if you have any questions.