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Simplifying 6(3x + -5) + -4(x + 4) + -20x = 0 Reorder the terms: 6(-5 + 3x) + -4(x + 4) + -20x = 0 (-5 * 6 + 3x * 6) + -4(x + 4) + -20x = 0 (-30 + 18x) + -4(x + 4) + -20x = 0 Reorder the terms: -30 + 18x + -4(4 + x) + -20x = 0 -30 + 18x + (4 * -4 + x * -4) + -20x = 0 -30 + 18x + (-16 + -4x) + -20x = 0 Reorder the terms: -30 + -16 + 18x + -4x + -20x = 0 Combine like terms: -30 + -16 = -46 -46 + 18x + -4x + -20x = 0 Combine like terms: 18x + -4x = 14x -46 + 14x + -20x = 0 Combine like terms: 14x + -20x = -6x -46 + -6x = 0 Solving -46 + -6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + -6x = 0 + 46 Combine like terms: -46 + 46 = 0 0 + -6x = 0 + 46 -6x = 0 + 46 Combine like terms: 0 + 46 = 46 -6x = 46 Divide each side by '-6'. x = -7.666666667 Simplifying x = -7.666666667
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