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Simplifying 9x + -6[6(x + 9) + -1(x + -7)] + -5 = 0 Reorder the terms: 9x + -6[6(9 + x) + -1(x + -7)] + -5 = 0 9x + -6[(9 * 6 + x * 6) + -1(x + -7)] + -5 = 0 9x + -6[(54 + 6x) + -1(x + -7)] + -5 = 0 Reorder the terms: 9x + -6[54 + 6x + -1(-7 + x)] + -5 = 0 9x + -6[54 + 6x + (-7 * -1 + x * -1)] + -5 = 0 9x + -6[54 + 6x + (7 + -1x)] + -5 = 0 Reorder the terms: 9x + -6[54 + 7 + 6x + -1x] + -5 = 0 Combine like terms: 54 + 7 = 61 9x + -6[61 + 6x + -1x] + -5 = 0 Combine like terms: 6x + -1x = 5x 9x + -6[61 + 5x] + -5 = 0 9x + [61 * -6 + 5x * -6] + -5 = 0 9x + [-366 + -30x] + -5 = 0 Reorder the terms: -366 + -5 + 9x + -30x = 0 Combine like terms: -366 + -5 = -371 -371 + 9x + -30x = 0 Combine like terms: 9x + -30x = -21x -371 + -21x = 0 Solving -371 + -21x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '371' to each side of the equation. -371 + 371 + -21x = 0 + 371 Combine like terms: -371 + 371 = 0 0 + -21x = 0 + 371 -21x = 0 + 371 Combine like terms: 0 + 371 = 371 -21x = 371 Divide each side by '-21'. x = -17.66666667 Simplifying x = -17.66666667
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