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Simplifying -3(2x + -9) = 4(3x + 6) Reorder the terms: -3(-9 + 2x) = 4(3x + 6) (-9 * -3 + 2x * -3) = 4(3x + 6) (27 + -6x) = 4(3x + 6) Reorder the terms: 27 + -6x = 4(6 + 3x) 27 + -6x = (6 * 4 + 3x * 4) 27 + -6x = (24 + 12x) Solving 27 + -6x = 24 + 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 + -6x + -12x = 24 + 12x + -12x Combine like terms: -6x + -12x = -18x 27 + -18x = 24 + 12x + -12x Combine like terms: 12x + -12x = 0 27 + -18x = 24 + 0 27 + -18x = 24 Add '-27' to each side of the equation. 27 + -27 + -18x = 24 + -27 Combine like terms: 27 + -27 = 0 0 + -18x = 24 + -27 -18x = 24 + -27 Combine like terms: 24 + -27 = -3 -18x = -3 Divide each side by '-18'. x = 0.1666666667 Simplifying x = 0.1666666667
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