Question: 15. 7x + 3 = 4(x + 2) - 2.
16. 3(x - 2) + 1 = x + 2(x + 2)
17. 1 - 2(x - 1) = 2(2 - x) - 1
1. We start with the first equation: $$7x + 3 = 4(x + 2) - 2$$
2. Apply the distributive property on the right side: $$7x + 3 = 4x + 8 - 2$$
3. Simplify the right side: $$7x + 3 = 4x + 6$$
4. Subtract $$4x$$ from both sides: $$7x - \cancel{4x} + 3 = \cancel{4x} + 6 \Rightarrow 3x + 3 = 6$$
5. Subtract 3 from both sides: $$3x + \cancel{3} = 6 - \cancel{3} \Rightarrow 3x = 3$$
6. Divide both sides by 3: $$\frac{3x}{\cancel{3}} = \frac{3}{\cancel{3}} \Rightarrow x = 1$$
**Answer for equation 15:** $$x = 1$$