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Simplifying 4(9x + -1) + 5(3x + 7) + -6(x + -8) = 0 Reorder the terms: 4(-1 + 9x) + 5(3x + 7) + -6(x + -8) = 0 (-1 * 4 + 9x * 4) + 5(3x + 7) + -6(x + -8) = 0 (-4 + 36x) + 5(3x + 7) + -6(x + -8) = 0 Reorder the terms: -4 + 36x + 5(7 + 3x) + -6(x + -8) = 0 -4 + 36x + (7 * 5 + 3x * 5) + -6(x + -8) = 0 -4 + 36x + (35 + 15x) + -6(x + -8) = 0 Reorder the terms: -4 + 36x + 35 + 15x + -6(-8 + x) = 0 -4 + 36x + 35 + 15x + (-8 * -6 + x * -6) = 0 -4 + 36x + 35 + 15x + (48 + -6x) = 0 Reorder the terms: -4 + 35 + 48 + 36x + 15x + -6x = 0 Combine like terms: -4 + 35 = 31 31 + 48 + 36x + 15x + -6x = 0 Combine like terms: 31 + 48 = 79 79 + 36x + 15x + -6x = 0 Combine like terms: 36x + 15x = 51x 79 + 51x + -6x = 0 Combine like terms: 51x + -6x = 45x 79 + 45x = 0 Solving 79 + 45x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-79' to each side of the equation. 79 + -79 + 45x = 0 + -79 Combine like terms: 79 + -79 = 0 0 + 45x = 0 + -79 45x = 0 + -79 Combine like terms: 0 + -79 = -79 45x = -79 Divide each side by '45'. x = -1.755555556 Simplifying x = -1.755555556
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