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Simplifying 25x + 14 = 5(4x + 1) + 5x + 9 Reorder the terms: 14 + 25x = 5(4x + 1) + 5x + 9 Reorder the terms: 14 + 25x = 5(1 + 4x) + 5x + 9 14 + 25x = (1 * 5 + 4x * 5) + 5x + 9 14 + 25x = (5 + 20x) + 5x + 9 Reorder the terms: 14 + 25x = 5 + 9 + 20x + 5x Combine like terms: 5 + 9 = 14 14 + 25x = 14 + 20x + 5x Combine like terms: 20x + 5x = 25x 14 + 25x = 14 + 25x Add '-14' to each side of the equation. 14 + -14 + 25x = 14 + -14 + 25x Combine like terms: 14 + -14 = 0 0 + 25x = 14 + -14 + 25x 25x = 14 + -14 + 25x Combine like terms: 14 + -14 = 0 25x = 0 + 25x 25x = 25x Add '-25x' to each side of the equation. 25x + -25x = 25x + -25x Combine like terms: 25x + -25x = 0 0 = 25x + -25x Combine like terms: 25x + -25x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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