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Simplifying 6(3x + -5) + -3(x + 4) + -20x = 0 Reorder the terms: 6(-5 + 3x) + -3(x + 4) + -20x = 0 (-5 * 6 + 3x * 6) + -3(x + 4) + -20x = 0 (-30 + 18x) + -3(x + 4) + -20x = 0 Reorder the terms: -30 + 18x + -3(4 + x) + -20x = 0 -30 + 18x + (4 * -3 + x * -3) + -20x = 0 -30 + 18x + (-12 + -3x) + -20x = 0 Reorder the terms: -30 + -12 + 18x + -3x + -20x = 0 Combine like terms: -30 + -12 = -42 -42 + 18x + -3x + -20x = 0 Combine like terms: 18x + -3x = 15x -42 + 15x + -20x = 0 Combine like terms: 15x + -20x = -5x -42 + -5x = 0 Solving -42 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + -5x = 0 + 42 Combine like terms: -42 + 42 = 0 0 + -5x = 0 + 42 -5x = 0 + 42 Combine like terms: 0 + 42 = 42 -5x = 42 Divide each side by '-5'. x = -8.4 Simplifying x = -8.4
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