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Simplifying -2(6x + -9) + 9 = 12x + 27 Reorder the terms: -2(-9 + 6x) + 9 = 12x + 27 (-9 * -2 + 6x * -2) + 9 = 12x + 27 (18 + -12x) + 9 = 12x + 27 Reorder the terms: 18 + 9 + -12x = 12x + 27 Combine like terms: 18 + 9 = 27 27 + -12x = 12x + 27 Reorder the terms: 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 Solving -12x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -12x + -12x = 12x + -12x Combine like terms: -12x + -12x = -24x -24x = 12x + -12x Combine like terms: 12x + -12x = 0 -24x = 0 Divide each side by '-24'. x = 0 Simplifying x = 0
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