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Simplifying 6(3x + -5) + -2(x + 3) + -20x = 0 Reorder the terms: 6(-5 + 3x) + -2(x + 3) + -20x = 0 (-5 * 6 + 3x * 6) + -2(x + 3) + -20x = 0 (-30 + 18x) + -2(x + 3) + -20x = 0 Reorder the terms: -30 + 18x + -2(3 + x) + -20x = 0 -30 + 18x + (3 * -2 + x * -2) + -20x = 0 -30 + 18x + (-6 + -2x) + -20x = 0 Reorder the terms: -30 + -6 + 18x + -2x + -20x = 0 Combine like terms: -30 + -6 = -36 -36 + 18x + -2x + -20x = 0 Combine like terms: 18x + -2x = 16x -36 + 16x + -20x = 0 Combine like terms: 16x + -20x = -4x -36 + -4x = 0 Solving -36 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -4x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -4x = 0 + 36 -4x = 0 + 36 Combine like terms: 0 + 36 = 36 -4x = 36 Divide each side by '-4'. x = -9 Simplifying x = -9
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