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Simplifying 9(x + 3) = 3(3x + 5) + 12 Reorder the terms: 9(3 + x) = 3(3x + 5) + 12 (3 * 9 + x * 9) = 3(3x + 5) + 12 (27 + 9x) = 3(3x + 5) + 12 Reorder the terms: 27 + 9x = 3(5 + 3x) + 12 27 + 9x = (5 * 3 + 3x * 3) + 12 27 + 9x = (15 + 9x) + 12 Reorder the terms: 27 + 9x = 15 + 12 + 9x Combine like terms: 15 + 12 = 27 27 + 9x = 27 + 9x Add '-27' to each side of the equation. 27 + -27 + 9x = 27 + -27 + 9x Combine like terms: 27 + -27 = 0 0 + 9x = 27 + -27 + 9x 9x = 27 + -27 + 9x Combine like terms: 27 + -27 = 0 9x = 0 + 9x 9x = 9x Add '-9x' to each side of the equation. 9x + -9x = 9x + -9x Combine like terms: 9x + -9x = 0 0 = 9x + -9x Combine like terms: 9x + -9x = 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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