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Simplifying 3(6x + -9) = 12x + -18 Reorder the terms: 3(-9 + 6x) = 12x + -18 (-9 * 3 + 6x * 3) = 12x + -18 (-27 + 18x) = 12x + -18 Reorder the terms: -27 + 18x = -18 + 12x Solving -27 + 18x = -18 + 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. -27 + 18x + -12x = -18 + 12x + -12x Combine like terms: 18x + -12x = 6x -27 + 6x = -18 + 12x + -12x Combine like terms: 12x + -12x = 0 -27 + 6x = -18 + 0 -27 + 6x = -18 Add '27' to each side of the equation. -27 + 27 + 6x = -18 + 27 Combine like terms: -27 + 27 = 0 0 + 6x = -18 + 27 6x = -18 + 27 Combine like terms: -18 + 27 = 9 6x = 9 Divide each side by '6'. x = 1.5 Simplifying x = 1.5
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