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Simplifying -5(2x + 9) + -6(3 + -1x) + 12(2x + 3) = 0 Reorder the terms: -5(9 + 2x) + -6(3 + -1x) + 12(2x + 3) = 0 (9 * -5 + 2x * -5) + -6(3 + -1x) + 12(2x + 3) = 0 (-45 + -10x) + -6(3 + -1x) + 12(2x + 3) = 0 -45 + -10x + (3 * -6 + -1x * -6) + 12(2x + 3) = 0 -45 + -10x + (-18 + 6x) + 12(2x + 3) = 0 Reorder the terms: -45 + -10x + -18 + 6x + 12(3 + 2x) = 0 -45 + -10x + -18 + 6x + (3 * 12 + 2x * 12) = 0 -45 + -10x + -18 + 6x + (36 + 24x) = 0 Reorder the terms: -45 + -18 + 36 + -10x + 6x + 24x = 0 Combine like terms: -45 + -18 = -63 -63 + 36 + -10x + 6x + 24x = 0 Combine like terms: -63 + 36 = -27 -27 + -10x + 6x + 24x = 0 Combine like terms: -10x + 6x = -4x -27 + -4x + 24x = 0 Combine like terms: -4x + 24x = 20x -27 + 20x = 0 Solving -27 + 20x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 20x = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 20x = 0 + 27 20x = 0 + 27 Combine like terms: 0 + 27 = 27 20x = 27 Divide each side by '20'. x = 1.35 Simplifying x = 1.35
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