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Simplifying 27x + 23 = 5(5x + 5) + 2x + -2 Reorder the terms: 23 + 27x = 5(5x + 5) + 2x + -2 Reorder the terms: 23 + 27x = 5(5 + 5x) + 2x + -2 23 + 27x = (5 * 5 + 5x * 5) + 2x + -2 23 + 27x = (25 + 25x) + 2x + -2 Reorder the terms: 23 + 27x = 25 + -2 + 25x + 2x Combine like terms: 25 + -2 = 23 23 + 27x = 23 + 25x + 2x Combine like terms: 25x + 2x = 27x 23 + 27x = 23 + 27x Add '-23' to each side of the equation. 23 + -23 + 27x = 23 + -23 + 27x Combine like terms: 23 + -23 = 0 0 + 27x = 23 + -23 + 27x 27x = 23 + -23 + 27x Combine like terms: 23 + -23 = 0 27x = 0 + 27x 27x = 27x Add '-27x' to each side of the equation. 27x + -27x = 27x + -27x Combine like terms: 27x + -27x = 0 0 = 27x + -27x Combine like terms: 27x + -27x = 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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