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Simplifying 3[1 + -1(-9x + -8)] = 81x + 75 Reorder the terms: 3[1 + -1(-8 + -9x)] = 81x + 75 3[1 + (-8 * -1 + -9x * -1)] = 81x + 75 3[1 + (8 + 9x)] = 81x + 75 Combine like terms: 1 + 8 = 9 3[9 + 9x] = 81x + 75 [9 * 3 + 9x * 3] = 81x + 75 [27 + 27x] = 81x + 75 Reorder the terms: 27 + 27x = 75 + 81x Solving 27 + 27x = 75 + 81x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-81x' to each side of the equation. 27 + 27x + -81x = 75 + 81x + -81x Combine like terms: 27x + -81x = -54x 27 + -54x = 75 + 81x + -81x Combine like terms: 81x + -81x = 0 27 + -54x = 75 + 0 27 + -54x = 75 Add '-27' to each side of the equation. 27 + -27 + -54x = 75 + -27 Combine like terms: 27 + -27 = 0 0 + -54x = 75 + -27 -54x = 75 + -27 Combine like terms: 75 + -27 = 48 -54x = 48 Divide each side by '-54'. x = -0.8888888889 Simplifying x = -0.8888888889
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