Final answer:
An equation in the form x + a = x + a has infinitely many solutions because any value for x will satisfy the equation as both sides are identical.
Step-by-step explanation:
When an equation is of the form x + a = x + a, this implies that no matter what value is chosen for x, the equation will always be true because both sides are identical. Therefore, there will be infinitely many solutions since any value for x will satisfy the equation.
When an equation is of the form x + a = x + a, it is an equation of the form a = a, where a represents any real number. Since both sides of the equation are equal, there are infinitely many solutions for this type of equation.