How do you simplify the expression 7x + 5x^4 + 5 + 7x^4 + 5 + 9x?

To simplify the expression 7x + 5x⁴ + 5 + 7x⁴ + 5 + 9x, we first combine like terms.

1. Identify the like terms:

• The linear terms are 7x and 9x.
• The constant terms are 5 and another 5.
• The x⁴ terms are 5x⁴ and 7x⁴.

2. Combine each type of like term:

• For the linear terms: 7x + 9x = 16x
• For the constant terms: 5 + 5 = 10
• For the x⁴ terms: 5x⁴ + 7x⁴ = 12x⁴

3. Now, put all these together:

The simplified expression is 12x⁴ + 16x + 10.

So, the final answer is:

12x⁴ + 16x + 10