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Simplifying 18x + 3(4x + -9) = -6x + 81 Reorder the terms: 18x + 3(-9 + 4x) = -6x + 81 18x + (-9 * 3 + 4x * 3) = -6x + 81 18x + (-27 + 12x) = -6x + 81 Reorder the terms: -27 + 18x + 12x = -6x + 81 Combine like terms: 18x + 12x = 30x -27 + 30x = -6x + 81 Reorder the terms: -27 + 30x = 81 + -6x Solving -27 + 30x = 81 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -27 + 30x + 6x = 81 + -6x + 6x Combine like terms: 30x + 6x = 36x -27 + 36x = 81 + -6x + 6x Combine like terms: -6x + 6x = 0 -27 + 36x = 81 + 0 -27 + 36x = 81 Add '27' to each side of the equation. -27 + 27 + 36x = 81 + 27 Combine like terms: -27 + 27 = 0 0 + 36x = 81 + 27 36x = 81 + 27 Combine like terms: 81 + 27 = 108 36x = 108 Divide each side by '36'. x = 3 Simplifying x = 3
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