Solve 7x – 35 = 0 to find the unique solution: x = 5.

Examples like 7x – 35 = 5x + 2x – 27 lead to contradictions, meaning zero solutions.

Solve 25x – 35 = 5(5x + 4) – 55, results in a statement always true, indicating infinite solutions.

Intersecting lines on graphs show one solution, non-intersecting imply no solution, and overlapping means infinite solutions.

Solving equations algebraically checks for consistency and determines one, none, or infinite solutions.

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