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Simplifying 6(x + -6) + -1(3x + 5) + -5(4x + 1) = 0 Reorder the terms: 6(-6 + x) + -1(3x + 5) + -5(4x + 1) = 0 (-6 * 6 + x * 6) + -1(3x + 5) + -5(4x + 1) = 0 (-36 + 6x) + -1(3x + 5) + -5(4x + 1) = 0 Reorder the terms: -36 + 6x + -1(5 + 3x) + -5(4x + 1) = 0 -36 + 6x + (5 * -1 + 3x * -1) + -5(4x + 1) = 0 -36 + 6x + (-5 + -3x) + -5(4x + 1) = 0 Reorder the terms: -36 + 6x + -5 + -3x + -5(1 + 4x) = 0 -36 + 6x + -5 + -3x + (1 * -5 + 4x * -5) = 0 -36 + 6x + -5 + -3x + (-5 + -20x) = 0 Reorder the terms: -36 + -5 + -5 + 6x + -3x + -20x = 0 Combine like terms: -36 + -5 = -41 -41 + -5 + 6x + -3x + -20x = 0 Combine like terms: -41 + -5 = -46 -46 + 6x + -3x + -20x = 0 Combine like terms: 6x + -3x = 3x -46 + 3x + -20x = 0 Combine like terms: 3x + -20x = -17x -46 + -17x = 0 Solving -46 + -17x = 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 + -17x = 0 + 46 Combine like terms: -46 + 46 = 0 0 + -17x = 0 + 46 -17x = 0 + 46 Combine like terms: 0 + 46 = 46 -17x = 46 Divide each side by '-17'. x = -2.705882353 Simplifying x = -2.705882353
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