Simplify (3x + 5) + (2x - 9) - (4x + 3).

Solution:

The given expression can be solved as follows:

(3x + 5) + (2x - 9) - (4x + 3)

By grouping the variables and the constants we have,

3x + 2x - 4x + 5 - 9 + 3

= 5x - 4x + 8 - 9

= x - 1

Let us take another example of simplification:

Simplify: (a⁴ + a³ - a) - (a³ - 3a² + 5a) + (a³ - 4a + 2) - (2a - 3)

Grouping the terms we have,

a⁴ - a³ + a³ +3a² - a -5a - 4a - 2a + 2 + 3

a⁴ + 3a² - 12a + 5

Simplify (3x + 5) + (2x - 9) - (4x + 3).

Summary:

Simplifying (3x + 5) + (2x - 9) - (4x + 3), we get x - 1