Answer: The equation 4(4x - 2) + 1 = 16x - 7 is true for any value of x.
Explanation:
To solve the equation 4(4x - 2) + 1 = 16x - 7, we can follow these steps:
Step 1: Simplify the expression on the left side of the equation by using the distributive property.
4(4x - 2) + 1 becomes 16x - 8 + 1.
Simplifying further, we have 16x - 7 = 16x - 7.
Step 2: Combine like terms on both sides of the equation.
The equation becomes 16x - 7 = 16x - 7.
Step 3: Notice that the equation is already balanced with equal terms on both sides. Therefore, the solution to this equation is any value of x.