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Unlimited Practice: Combining Like Terms

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1. Distribute and combine like terms: $5 \left(4 + 9 x\right) + 3 x \left(1 + 10 x\right)$

$30 x^{2} - 42 x - 20$

$30 x^{2} + 48 x + 20$

$30 x^{2} + 48 x - 20$

$30 x^{2} - 45 x + 5$

2. Distribute and combine like terms: $- 8 x \left(7 y + 6\right) + - 8 x \left(7 x y + 8 x + 7\right)$

$- 56 x^{2} y - 56 x y + 16 x - 7$

$- 56 x^{2} y - 56 x y - 16 x + 7$

$56 x^{2} y - 56 x y + 112 x + 7$

$- 56 x^{2} y - 64 x^{2} - 56 x y - 104 x$

3. Distribute and combine like terms: $6 \left(7 y + 9\right) + 5 \left(6 x y - 3 x - 7\right)$

$30 x y + 15 x + 42 y + 61$

$30 x y - 15 x + 42 y - 61$

$30 x y - 15 x + 42 y + 19$

$30 x y - 15 x + 42 y + 61$

4. Distribute and combine like terms: $6 x \left(3 + 5 x\right) + 7 \left(-1 + 5 x\right)$

$30 x^{2} - 35 x + 2$

$30 x^{2} - 35 x + 4$

$30 x^{2} + 53 x - 7$

$30 x^{2} + 35 x + 2$

5. Distribute and combine like terms: $7 x \left(- 7 x - 6\right) - 10 \left(3 x + 6\right)$

$- 49 x^{2} - 72 x - 60$

$- 49 x^{2} - 72 x + 60$

$- 49 x^{2} - 30 x - 12$

$- 49 x^{2} - 12 x - 60$

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