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Simplifying 3(3x + 9) = 12(3x + -27) Reorder the terms: 3(9 + 3x) = 12(3x + -27) (9 * 3 + 3x * 3) = 12(3x + -27) (27 + 9x) = 12(3x + -27) Reorder the terms: 27 + 9x = 12(-27 + 3x) 27 + 9x = (-27 * 12 + 3x * 12) 27 + 9x = (-324 + 36x) Solving 27 + 9x = -324 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 27 + 9x + -36x = -324 + 36x + -36x Combine like terms: 9x + -36x = -27x 27 + -27x = -324 + 36x + -36x Combine like terms: 36x + -36x = 0 27 + -27x = -324 + 0 27 + -27x = -324 Add '-27' to each side of the equation. 27 + -27 + -27x = -324 + -27 Combine like terms: 27 + -27 = 0 0 + -27x = -324 + -27 -27x = -324 + -27 Combine like terms: -324 + -27 = -351 -27x = -351 Divide each side by '-27'. x = 13 Simplifying x = 13
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