Simplify `-4(3x-3) +9(x+1)` .

Use the distributive property: `a(b+c) = ab+ac.`

`-12x + 12 + 9x + 9`

Now combine like terms.

`-3x + 21`

or `-3(x-7)`

Multiply `-4` by each term inside the parentheses.

`12-12x+9(x+1)`

Multiply `9` by each term inside the parentheses.

`12-12x+9x+9 `

Add `9` to `12 ` to get `21` .

`21-12x+9x`

Since `-12x` and `9x` are like terms, subtract `9x` from `-12x` to get `-3x` .

Thus, the answer is `-3x + 21`

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The expression -4(3x-3)+9(x+1) has to be simplified.

-4(3x-3)+9(x+1)

First, open the brackets.

= -4*3x - 3*-4 + 9*x + 9

= -12x + 12 + 9x + 9

Combine similar terms

= -3x + 21

**The simplified form of the expression -4(3x-3)+9(x+1) is -3x + 21**