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Simplifying 5x + -2[9(x + 5) + -1(x + -7)] + -8 = 0 Reorder the terms: 5x + -2[9(5 + x) + -1(x + -7)] + -8 = 0 5x + -2[(5 * 9 + x * 9) + -1(x + -7)] + -8 = 0 5x + -2[(45 + 9x) + -1(x + -7)] + -8 = 0 Reorder the terms: 5x + -2[45 + 9x + -1(-7 + x)] + -8 = 0 5x + -2[45 + 9x + (-7 * -1 + x * -1)] + -8 = 0 5x + -2[45 + 9x + (7 + -1x)] + -8 = 0 Reorder the terms: 5x + -2[45 + 7 + 9x + -1x] + -8 = 0 Combine like terms: 45 + 7 = 52 5x + -2[52 + 9x + -1x] + -8 = 0 Combine like terms: 9x + -1x = 8x 5x + -2[52 + 8x] + -8 = 0 5x + [52 * -2 + 8x * -2] + -8 = 0 5x + [-104 + -16x] + -8 = 0 Reorder the terms: -104 + -8 + 5x + -16x = 0 Combine like terms: -104 + -8 = -112 -112 + 5x + -16x = 0 Combine like terms: 5x + -16x = -11x -112 + -11x = 0 Solving -112 + -11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '112' to each side of the equation. -112 + 112 + -11x = 0 + 112 Combine like terms: -112 + 112 = 0 0 + -11x = 0 + 112 -11x = 0 + 112 Combine like terms: 0 + 112 = 112 -11x = 112 Divide each side by '-11'. x = -10.18181818 Simplifying x = -10.18181818
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