25 - 4x = 15 - 3x + 1 - x solve the equation and show your work. tell whether it has one solution, an infinite number of solutions, or no solutions, and identify each equation as an identity, a contradiction, or neither.

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To solve algebraic equations, we need to first, simplify the common terms, and secondly use SADMEP. SADMEP is strictly used to solve algebraic equations, and is used like PEMDAS. SADMEP is an acronym for subtract, addition, division, multiplication, exponents, and parentheses.

25 - 4x = 15 - 3x + 1 - x (simplify the common terms)

25 - 4x = 16 - 4x (subtract 16 from both sides)

9 - 4x = -4x (add 4x to both sides)

9 = 0 → This means that there is no solutions.

Therefore, this equation has no solutions, which are contradictions because those are the equations with no solution.

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