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Simplifying 9 + 8[1 + 2(2x + -8)] = 6(x + 9) Reorder the terms: 9 + 8[1 + 2(-8 + 2x)] = 6(x + 9) 9 + 8[1 + (-8 * 2 + 2x * 2)] = 6(x + 9) 9 + 8[1 + (-16 + 4x)] = 6(x + 9) Combine like terms: 1 + -16 = -15 9 + 8[-15 + 4x] = 6(x + 9) 9 + [-15 * 8 + 4x * 8] = 6(x + 9) 9 + [-120 + 32x] = 6(x + 9) Combine like terms: 9 + -120 = -111 -111 + 32x = 6(x + 9) Reorder the terms: -111 + 32x = 6(9 + x) -111 + 32x = (9 * 6 + x * 6) -111 + 32x = (54 + 6x) Solving -111 + 32x = 54 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -111 + 32x + -6x = 54 + 6x + -6x Combine like terms: 32x + -6x = 26x -111 + 26x = 54 + 6x + -6x Combine like terms: 6x + -6x = 0 -111 + 26x = 54 + 0 -111 + 26x = 54 Add '111' to each side of the equation. -111 + 111 + 26x = 54 + 111 Combine like terms: -111 + 111 = 0 0 + 26x = 54 + 111 26x = 54 + 111 Combine like terms: 54 + 111 = 165 26x = 165 Divide each side by '26'. x = 6.346153846 Simplifying x = 6.346153846
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