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Simplifying 2(6x + 3) = 3(3x + -9) Reorder the terms: 2(3 + 6x) = 3(3x + -9) (3 * 2 + 6x * 2) = 3(3x + -9) (6 + 12x) = 3(3x + -9) Reorder the terms: 6 + 12x = 3(-9 + 3x) 6 + 12x = (-9 * 3 + 3x * 3) 6 + 12x = (-27 + 9x) Solving 6 + 12x = -27 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 6 + 12x + -9x = -27 + 9x + -9x Combine like terms: 12x + -9x = 3x 6 + 3x = -27 + 9x + -9x Combine like terms: 9x + -9x = 0 6 + 3x = -27 + 0 6 + 3x = -27 Add '-6' to each side of the equation. 6 + -6 + 3x = -27 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = -27 + -6 3x = -27 + -6 Combine like terms: -27 + -6 = -33 3x = -33 Divide each side by '3'. x = -11 Simplifying x = -11
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