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Simplifying 8x + -6[6(x + 8) + -1(x + -9)] + -6 = 0 Reorder the terms: 8x + -6[6(8 + x) + -1(x + -9)] + -6 = 0 8x + -6[(8 * 6 + x * 6) + -1(x + -9)] + -6 = 0 8x + -6[(48 + 6x) + -1(x + -9)] + -6 = 0 Reorder the terms: 8x + -6[48 + 6x + -1(-9 + x)] + -6 = 0 8x + -6[48 + 6x + (-9 * -1 + x * -1)] + -6 = 0 8x + -6[48 + 6x + (9 + -1x)] + -6 = 0 Reorder the terms: 8x + -6[48 + 9 + 6x + -1x] + -6 = 0 Combine like terms: 48 + 9 = 57 8x + -6[57 + 6x + -1x] + -6 = 0 Combine like terms: 6x + -1x = 5x 8x + -6[57 + 5x] + -6 = 0 8x + [57 * -6 + 5x * -6] + -6 = 0 8x + [-342 + -30x] + -6 = 0 Reorder the terms: -342 + -6 + 8x + -30x = 0 Combine like terms: -342 + -6 = -348 -348 + 8x + -30x = 0 Combine like terms: 8x + -30x = -22x -348 + -22x = 0 Solving -348 + -22x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '348' to each side of the equation. -348 + 348 + -22x = 0 + 348 Combine like terms: -348 + 348 = 0 0 + -22x = 0 + 348 -22x = 0 + 348 Combine like terms: 0 + 348 = 348 -22x = 348 Divide each side by '-22'. x = -15.81818182 Simplifying x = -15.81818182
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