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Simplifying 9[8 + -1(-3x + -9)] = 81x + 315 Reorder the terms: 9[8 + -1(-9 + -3x)] = 81x + 315 9[8 + (-9 * -1 + -3x * -1)] = 81x + 315 9[8 + (9 + 3x)] = 81x + 315 Combine like terms: 8 + 9 = 17 9[17 + 3x] = 81x + 315 [17 * 9 + 3x * 9] = 81x + 315 [153 + 27x] = 81x + 315 Reorder the terms: 153 + 27x = 315 + 81x Solving 153 + 27x = 315 + 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. 153 + 27x + -81x = 315 + 81x + -81x Combine like terms: 27x + -81x = -54x 153 + -54x = 315 + 81x + -81x Combine like terms: 81x + -81x = 0 153 + -54x = 315 + 0 153 + -54x = 315 Add '-153' to each side of the equation. 153 + -153 + -54x = 315 + -153 Combine like terms: 153 + -153 = 0 0 + -54x = 315 + -153 -54x = 315 + -153 Combine like terms: 315 + -153 = 162 -54x = 162 Divide each side by '-54'. x = -3 Simplifying x = -3
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