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Simplifying 3(4x + 9) = 18x + 15 + -6x + 12 Reorder the terms: 3(9 + 4x) = 18x + 15 + -6x + 12 (9 * 3 + 4x * 3) = 18x + 15 + -6x + 12 (27 + 12x) = 18x + 15 + -6x + 12 Reorder the terms: 27 + 12x = 15 + 12 + 18x + -6x Combine like terms: 15 + 12 = 27 27 + 12x = 27 + 18x + -6x Combine like terms: 18x + -6x = 12x 27 + 12x = 27 + 12x Add '-27' to each side of the equation. 27 + -27 + 12x = 27 + -27 + 12x Combine like terms: 27 + -27 = 0 0 + 12x = 27 + -27 + 12x 12x = 27 + -27 + 12x Combine like terms: 27 + -27 = 0 12x = 0 + 12x 12x = 12x Add '-12x' to each side of the equation. 12x + -12x = 12x + -12x Combine like terms: 12x + -12x = 0 0 = 12x + -12x Combine like terms: 12x + -12x = 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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