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