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Simplifying 6(3x + -6) + -2(x + 3) + -20x = 0 Reorder the terms: 6(-6 + 3x) + -2(x + 3) + -20x = 0 (-6 * 6 + 3x * 6) + -2(x + 3) + -20x = 0 (-36 + 18x) + -2(x + 3) + -20x = 0 Reorder the terms: -36 + 18x + -2(3 + x) + -20x = 0 -36 + 18x + (3 * -2 + x * -2) + -20x = 0 -36 + 18x + (-6 + -2x) + -20x = 0 Reorder the terms: -36 + -6 + 18x + -2x + -20x = 0 Combine like terms: -36 + -6 = -42 -42 + 18x + -2x + -20x = 0 Combine like terms: 18x + -2x = 16x -42 + 16x + -20x = 0 Combine like terms: 16x + -20x = -4x -42 + -4x = 0 Solving -42 + -4x = 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 + -4x = 0 + 42 Combine like terms: -42 + 42 = 0 0 + -4x = 0 + 42 -4x = 0 + 42 Combine like terms: 0 + 42 = 42 -4x = 42 Divide each side by '-4'. x = -10.5 Simplifying x = -10.5
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