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Simplifying 20x + 5(x + 1) = 25(x + 1) + -20 Reorder the terms: 20x + 5(1 + x) = 25(x + 1) + -20 20x + (1 * 5 + x * 5) = 25(x + 1) + -20 20x + (5 + 5x) = 25(x + 1) + -20 Reorder the terms: 5 + 20x + 5x = 25(x + 1) + -20 Combine like terms: 20x + 5x = 25x 5 + 25x = 25(x + 1) + -20 Reorder the terms: 5 + 25x = 25(1 + x) + -20 5 + 25x = (1 * 25 + x * 25) + -20 5 + 25x = (25 + 25x) + -20 Reorder the terms: 5 + 25x = 25 + -20 + 25x Combine like terms: 25 + -20 = 5 5 + 25x = 5 + 25x Add '-5' to each side of the equation. 5 + -5 + 25x = 5 + -5 + 25x Combine like terms: 5 + -5 = 0 0 + 25x = 5 + -5 + 25x 25x = 5 + -5 + 25x Combine like terms: 5 + -5 = 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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