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Simplifying 3 + 3(2x + -3) + -3(4x + 6) + -9 = 0 Reorder the terms: 3 + 3(-3 + 2x) + -3(4x + 6) + -9 = 0 3 + (-3 * 3 + 2x * 3) + -3(4x + 6) + -9 = 0 3 + (-9 + 6x) + -3(4x + 6) + -9 = 0 Reorder the terms: 3 + -9 + 6x + -3(6 + 4x) + -9 = 0 3 + -9 + 6x + (6 * -3 + 4x * -3) + -9 = 0 3 + -9 + 6x + (-18 + -12x) + -9 = 0 Reorder the terms: 3 + -9 + -18 + -9 + 6x + -12x = 0 Combine like terms: 3 + -9 = -6 -6 + -18 + -9 + 6x + -12x = 0 Combine like terms: -6 + -18 = -24 -24 + -9 + 6x + -12x = 0 Combine like terms: -24 + -9 = -33 -33 + 6x + -12x = 0 Combine like terms: 6x + -12x = -6x -33 + -6x = 0 Solving -33 + -6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + -6x = 0 + 33 Combine like terms: -33 + 33 = 0 0 + -6x = 0 + 33 -6x = 0 + 33 Combine like terms: 0 + 33 = 33 -6x = 33 Divide each side by '-6'. x = -5.5 Simplifying x = -5.5
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