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Simplifying 9(x + 3) = 6(x + -3) + 3(x + 15) Reorder the terms: 9(3 + x) = 6(x + -3) + 3(x + 15) (3 * 9 + x * 9) = 6(x + -3) + 3(x + 15) (27 + 9x) = 6(x + -3) + 3(x + 15) Reorder the terms: 27 + 9x = 6(-3 + x) + 3(x + 15) 27 + 9x = (-3 * 6 + x * 6) + 3(x + 15) 27 + 9x = (-18 + 6x) + 3(x + 15) Reorder the terms: 27 + 9x = -18 + 6x + 3(15 + x) 27 + 9x = -18 + 6x + (15 * 3 + x * 3) 27 + 9x = -18 + 6x + (45 + 3x) Reorder the terms: 27 + 9x = -18 + 45 + 6x + 3x Combine like terms: -18 + 45 = 27 27 + 9x = 27 + 6x + 3x Combine like terms: 6x + 3x = 9x 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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