Decide whether each equation is true for all, one, or no values of \(x\).

1. \(6x-4=\text-4+6x\)
2. \(4x-6=4x+3\)
3. \(\text-2x+4=\text-3x+4\)

Solve each of these equations. Explain or show your reasoning.

1. \(3(x-5) = 6\)

2. \(2\left(x - \frac{2}{3}\right) = 0\)

3. \(4x - 5 = 2 -x\)

A line is represented by the equation \(\frac{y}{x-2}=\frac{3}{11}\). For each point, determine if it is on this line.

1. \((3,13)\)
2. \((13,3)\)
3. \((35,9)\)
4. \((40, 10)\)
5. \((46, 12)\)

In the picture, quadrilateral \(A’B’C’D'\) is an image of quadrilateral \(ABCD\) after a rotation. The center of rotation is \(E\).

1. What is the length of side \(AB\)? Explain how you know.
2. What is the measure of angle \(D'\)? Explain how you know.