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Simplifying 8x + -9[5(x + 9) + -1(x + -8)] + -2 = 0 Reorder the terms: 8x + -9[5(9 + x) + -1(x + -8)] + -2 = 0 8x + -9[(9 * 5 + x * 5) + -1(x + -8)] + -2 = 0 8x + -9[(45 + 5x) + -1(x + -8)] + -2 = 0 Reorder the terms: 8x + -9[45 + 5x + -1(-8 + x)] + -2 = 0 8x + -9[45 + 5x + (-8 * -1 + x * -1)] + -2 = 0 8x + -9[45 + 5x + (8 + -1x)] + -2 = 0 Reorder the terms: 8x + -9[45 + 8 + 5x + -1x] + -2 = 0 Combine like terms: 45 + 8 = 53 8x + -9[53 + 5x + -1x] + -2 = 0 Combine like terms: 5x + -1x = 4x 8x + -9[53 + 4x] + -2 = 0 8x + [53 * -9 + 4x * -9] + -2 = 0 8x + [-477 + -36x] + -2 = 0 Reorder the terms: -477 + -2 + 8x + -36x = 0 Combine like terms: -477 + -2 = -479 -479 + 8x + -36x = 0 Combine like terms: 8x + -36x = -28x -479 + -28x = 0 Solving -479 + -28x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '479' to each side of the equation. -479 + 479 + -28x = 0 + 479 Combine like terms: -479 + 479 = 0 0 + -28x = 0 + 479 -28x = 0 + 479 Combine like terms: 0 + 479 = 479 -28x = 479 Divide each side by '-28'. x = -17.10714286 Simplifying x = -17.10714286
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