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Simplifying 3(4x + 9) + -6 = 11x + 18 Reorder the terms: 3(9 + 4x) + -6 = 11x + 18 (9 * 3 + 4x * 3) + -6 = 11x + 18 (27 + 12x) + -6 = 11x + 18 Reorder the terms: 27 + -6 + 12x = 11x + 18 Combine like terms: 27 + -6 = 21 21 + 12x = 11x + 18 Reorder the terms: 21 + 12x = 18 + 11x Solving 21 + 12x = 18 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 21 + 12x + -11x = 18 + 11x + -11x Combine like terms: 12x + -11x = 1x 21 + 1x = 18 + 11x + -11x Combine like terms: 11x + -11x = 0 21 + 1x = 18 + 0 21 + 1x = 18 Add '-21' to each side of the equation. 21 + -21 + 1x = 18 + -21 Combine like terms: 21 + -21 = 0 0 + 1x = 18 + -21 1x = 18 + -21 Combine like terms: 18 + -21 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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