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Simplifying 5(x + -4) + 7 + -1(3x + 8) + -1(6 + -11x) = 0 Reorder the terms: 5(-4 + x) + 7 + -1(3x + 8) + -1(6 + -11x) = 0 (-4 * 5 + x * 5) + 7 + -1(3x + 8) + -1(6 + -11x) = 0 (-20 + 5x) + 7 + -1(3x + 8) + -1(6 + -11x) = 0 Reorder the terms: -20 + 5x + 7 + -1(8 + 3x) + -1(6 + -11x) = 0 -20 + 5x + 7 + (8 * -1 + 3x * -1) + -1(6 + -11x) = 0 -20 + 5x + 7 + (-8 + -3x) + -1(6 + -11x) = 0 -20 + 5x + 7 + -8 + -3x + (6 * -1 + -11x * -1) = 0 -20 + 5x + 7 + -8 + -3x + (-6 + 11x) = 0 Reorder the terms: -20 + 7 + -8 + -6 + 5x + -3x + 11x = 0 Combine like terms: -20 + 7 = -13 -13 + -8 + -6 + 5x + -3x + 11x = 0 Combine like terms: -13 + -8 = -21 -21 + -6 + 5x + -3x + 11x = 0 Combine like terms: -21 + -6 = -27 -27 + 5x + -3x + 11x = 0 Combine like terms: 5x + -3x = 2x -27 + 2x + 11x = 0 Combine like terms: 2x + 11x = 13x -27 + 13x = 0 Solving -27 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 13x = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 13x = 0 + 27 13x = 0 + 27 Combine like terms: 0 + 27 = 27 13x = 27 Divide each side by '13'. x = 2.076923077 Simplifying x = 2.076923077
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