Question

1) 2(x-3)-6(x+8)-9 2) -3(2x-6)+(-5x+8)-7 3)6x+8(1-2x)-7(x-9)+15 4) 21+6(x-9)-17(3x+6)

Answer 1

1)2(х-3)-6(х+8)-9=2х-6-6х-48-9=-4х-63
2)-3(2х-6)+(-5х+8)-7=-6х+18-5х+8-7=-11х+19
3)6х+8(1-2х)-7(х-9)+15=6х+8-16х-7х+63+15=-17х+86
4)21+6(х-9)-17(3х+6)=21+6х-54-51х-102=-135-45х

Answer 2

To simplify each of these expressions, follow the order of operations (PEMDAS/BODMAS):

1. 2(x - 3) - 6(x + 8) - 9

Step 1: Distribute the coefficients: 2x - 6 - 6x - 48 - 9

Step 2: Combine like terms: (2x - 6x) + (-6 - 48 - 9) -4x - 63

So, the simplified expression is -4x - 63.

2. -3(2x - 6) + (-5x + 8) - 7

Step 1: Distribute the coefficients: -6x + 18 - 5x + 8 - 7

Step 2: Combine like terms: (-6x - 5x) + (18 + 8 - 7) -11x + 19

So, the simplified expression is -11x + 19.

3. 6x + 8(1 - 2x) - 7(x - 9) + 15

Step 1: Distribute the coefficients: 6x + 8 - 16x - 7x + 63 + 15

Step 2: Combine like terms: (6x - 16x - 7x) + (8 + 63 + 15) -17x + 86

So, the simplified expression is -17x + 86.

4. 21 + 6(x - 9) - 17(3x + 6)

Step 1: Distribute the coefficients: 21 + 6x - 54 - 51x - 102

Step 2: Combine like terms: (6x - 51x) + (21 - 54 - 102) -45x - 135

So, the simplified expression is -45x - 135.

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