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Simplifying 3[9 + -1(3x + -8)] = 27x + 99 Reorder the terms: 3[9 + -1(-8 + 3x)] = 27x + 99 3[9 + (-8 * -1 + 3x * -1)] = 27x + 99 3[9 + (8 + -3x)] = 27x + 99 Combine like terms: 9 + 8 = 17 3[17 + -3x] = 27x + 99 [17 * 3 + -3x * 3] = 27x + 99 [51 + -9x] = 27x + 99 Reorder the terms: 51 + -9x = 99 + 27x Solving 51 + -9x = 99 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 51 + -9x + -27x = 99 + 27x + -27x Combine like terms: -9x + -27x = -36x 51 + -36x = 99 + 27x + -27x Combine like terms: 27x + -27x = 0 51 + -36x = 99 + 0 51 + -36x = 99 Add '-51' to each side of the equation. 51 + -51 + -36x = 99 + -51 Combine like terms: 51 + -51 = 0 0 + -36x = 99 + -51 -36x = 99 + -51 Combine like terms: 99 + -51 = 48 -36x = 48 Divide each side by '-36'. x = -1.333333333 Simplifying x = -1.333333333
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