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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 = 24x -27 + 24x = 81 + 6x + -6x Combine like terms: 6x + -6x = 0 -27 + 24x = 81 + 0 -27 + 24x = 81 Add '27' to each side of the equation. -27 + 27 + 24x = 81 + 27 Combine like terms: -27 + 27 = 0 0 + 24x = 81 + 27 24x = 81 + 27 Combine like terms: 81 + 27 = 108 24x = 108 Divide each side by '24'. x = 4.5 Simplifying x = 4.5
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