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Simplifying 17x + 27 = 3(5x + 6) + 2x + 9 Reorder the terms: 27 + 17x = 3(5x + 6) + 2x + 9 Reorder the terms: 27 + 17x = 3(6 + 5x) + 2x + 9 27 + 17x = (6 * 3 + 5x * 3) + 2x + 9 27 + 17x = (18 + 15x) + 2x + 9 Reorder the terms: 27 + 17x = 18 + 9 + 15x + 2x Combine like terms: 18 + 9 = 27 27 + 17x = 27 + 15x + 2x Combine like terms: 15x + 2x = 17x 27 + 17x = 27 + 17x Add '-27' to each side of the equation. 27 + -27 + 17x = 27 + -27 + 17x Combine like terms: 27 + -27 = 0 0 + 17x = 27 + -27 + 17x 17x = 27 + -27 + 17x Combine like terms: 27 + -27 = 0 17x = 0 + 17x 17x = 17x Add '-17x' to each side of the equation. 17x + -17x = 17x + -17x Combine like terms: 17x + -17x = 0 0 = 17x + -17x Combine like terms: 17x + -17x = 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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