The image contains four algebraic expressions to simplify. Here are the expressions and their simplified forms:

1. Expression (a): $2a + 4(7 + 5a)$ Step 1: Apply the distributive property $2a + 4 \cdot 7 + 4 \cdot 5a = 2a + 28 + 20a$ Step 2: Combine like terms $(2a + 20a) + 28 = 22a + 28$ Simplified Answer: $22a + 28$

2. Expression (b): $4(3x + 2) - 5(7x + 5)$ Step 1: Apply the distributive property $4 \cdot 3x + 4 \cdot 2 - 5 \cdot 7x - 5 \cdot 5 = 12x + 8 - 35x - 25$ Step 2: Combine like terms $(12x - 35x) + (8 - 25) = -23x - 17$ Simplified Answer: $-23x - 17$

3. Expression (c): $x(x + 5)$ Step 1: Apply the distributive property $x \cdot x + x \cdot 5 = x^2 + 5x$ Simplified Answer: $x^2 + 5x$

4. Expression (d): $2x + x(x + 6)$ Step 1: Apply the distributive property $2x + x \cdot x + x \cdot 6 = 2x + x^2 + 6x$ Step 2: Combine like terms $x^2 + (2x + 6x) = x^2 + 8x$ Simplified Answer: $x^2 + 8x$

Would you like further details on any step?

Here are 5 related questions to practice:

1. How would you simplify $3a + 2(4a + 7)$?
2. What is the simplified form of $5x + 3(2x + 1)$?
3. How would you distribute and combine terms in $2b + 4(b + 3)$?
4. Simplify the expression $4(x + 3) - 2(x + 5)$.
5. What is the simplified result of $x(x + 8) + 2x$?

Tip: When simplifying, always distribute before combining like terms for clarity.