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Simplifying -1[7x + -4(3x + 5) + -6(x + 6)] = 0 Reorder the terms: -1[7x + -4(5 + 3x) + -6(x + 6)] = 0 -1[7x + (5 * -4 + 3x * -4) + -6(x + 6)] = 0 -1[7x + (-20 + -12x) + -6(x + 6)] = 0 Reorder the terms: -1[7x + -20 + -12x + -6(6 + x)] = 0 -1[7x + -20 + -12x + (6 * -6 + x * -6)] = 0 -1[7x + -20 + -12x + (-36 + -6x)] = 0 Reorder the terms: -1[-20 + -36 + 7x + -12x + -6x] = 0 Combine like terms: -20 + -36 = -56 -1[-56 + 7x + -12x + -6x] = 0 Combine like terms: 7x + -12x = -5x -1[-56 + -5x + -6x] = 0 Combine like terms: -5x + -6x = -11x -1[-56 + -11x] = 0 [-56 * -1 + -11x * -1] = 0 [56 + 11x] = 0 Solving 56 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + 11x = 0 + -56 Combine like terms: 56 + -56 = 0 0 + 11x = 0 + -56 11x = 0 + -56 Combine like terms: 0 + -56 = -56 11x = -56 Divide each side by '11'. x = -5.090909091 Simplifying x = -5.090909091
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