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Simplifying 6(2x + -4) + -3(x + 3) + -20x = 0 Reorder the terms: 6(-4 + 2x) + -3(x + 3) + -20x = 0 (-4 * 6 + 2x * 6) + -3(x + 3) + -20x = 0 (-24 + 12x) + -3(x + 3) + -20x = 0 Reorder the terms: -24 + 12x + -3(3 + x) + -20x = 0 -24 + 12x + (3 * -3 + x * -3) + -20x = 0 -24 + 12x + (-9 + -3x) + -20x = 0 Reorder the terms: -24 + -9 + 12x + -3x + -20x = 0 Combine like terms: -24 + -9 = -33 -33 + 12x + -3x + -20x = 0 Combine like terms: 12x + -3x = 9x -33 + 9x + -20x = 0 Combine like terms: 9x + -20x = -11x -33 + -11x = 0 Solving -33 + -11x = 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 + -11x = 0 + 33 Combine like terms: -33 + 33 = 0 0 + -11x = 0 + 33 -11x = 0 + 33 Combine like terms: 0 + 33 = 33 -11x = 33 Divide each side by '-11'. x = -3 Simplifying x = -3
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