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Simplifying 8x + -9[6(x + 8) + -1(x + -7)] + -6 = 0 Reorder the terms: 8x + -9[6(8 + x) + -1(x + -7)] + -6 = 0 8x + -9[(8 * 6 + x * 6) + -1(x + -7)] + -6 = 0 8x + -9[(48 + 6x) + -1(x + -7)] + -6 = 0 Reorder the terms: 8x + -9[48 + 6x + -1(-7 + x)] + -6 = 0 8x + -9[48 + 6x + (-7 * -1 + x * -1)] + -6 = 0 8x + -9[48 + 6x + (7 + -1x)] + -6 = 0 Reorder the terms: 8x + -9[48 + 7 + 6x + -1x] + -6 = 0 Combine like terms: 48 + 7 = 55 8x + -9[55 + 6x + -1x] + -6 = 0 Combine like terms: 6x + -1x = 5x 8x + -9[55 + 5x] + -6 = 0 8x + [55 * -9 + 5x * -9] + -6 = 0 8x + [-495 + -45x] + -6 = 0 Reorder the terms: -495 + -6 + 8x + -45x = 0 Combine like terms: -495 + -6 = -501 -501 + 8x + -45x = 0 Combine like terms: 8x + -45x = -37x -501 + -37x = 0 Solving -501 + -37x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '501' to each side of the equation. -501 + 501 + -37x = 0 + 501 Combine like terms: -501 + 501 = 0 0 + -37x = 0 + 501 -37x = 0 + 501 Combine like terms: 0 + 501 = 501 -37x = 501 Divide each side by '-37'. x = -13.54054054 Simplifying x = -13.54054054
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