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Simplifying 9x + -4[6(x + 4) + -1(x + -6)] + -3 = 0 Reorder the terms: 9x + -4[6(4 + x) + -1(x + -6)] + -3 = 0 9x + -4[(4 * 6 + x * 6) + -1(x + -6)] + -3 = 0 9x + -4[(24 + 6x) + -1(x + -6)] + -3 = 0 Reorder the terms: 9x + -4[24 + 6x + -1(-6 + x)] + -3 = 0 9x + -4[24 + 6x + (-6 * -1 + x * -1)] + -3 = 0 9x + -4[24 + 6x + (6 + -1x)] + -3 = 0 Reorder the terms: 9x + -4[24 + 6 + 6x + -1x] + -3 = 0 Combine like terms: 24 + 6 = 30 9x + -4[30 + 6x + -1x] + -3 = 0 Combine like terms: 6x + -1x = 5x 9x + -4[30 + 5x] + -3 = 0 9x + [30 * -4 + 5x * -4] + -3 = 0 9x + [-120 + -20x] + -3 = 0 Reorder the terms: -120 + -3 + 9x + -20x = 0 Combine like terms: -120 + -3 = -123 -123 + 9x + -20x = 0 Combine like terms: 9x + -20x = -11x -123 + -11x = 0 Solving -123 + -11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '123' to each side of the equation. -123 + 123 + -11x = 0 + 123 Combine like terms: -123 + 123 = 0 0 + -11x = 0 + 123 -11x = 0 + 123 Combine like terms: 0 + 123 = 123 -11x = 123 Divide each side by '-11'. x = -11.18181818 Simplifying x = -11.18181818
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