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Simplifying 9x + -3(x + -9) = 3(x + -1) + 8 Reorder the terms: 9x + -3(-9 + x) = 3(x + -1) + 8 9x + (-9 * -3 + x * -3) = 3(x + -1) + 8 9x + (27 + -3x) = 3(x + -1) + 8 Reorder the terms: 27 + 9x + -3x = 3(x + -1) + 8 Combine like terms: 9x + -3x = 6x 27 + 6x = 3(x + -1) + 8 Reorder the terms: 27 + 6x = 3(-1 + x) + 8 27 + 6x = (-1 * 3 + x * 3) + 8 27 + 6x = (-3 + 3x) + 8 Reorder the terms: 27 + 6x = -3 + 8 + 3x Combine like terms: -3 + 8 = 5 27 + 6x = 5 + 3x Solving 27 + 6x = 5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 27 + 6x + -3x = 5 + 3x + -3x Combine like terms: 6x + -3x = 3x 27 + 3x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 27 + 3x = 5 + 0 27 + 3x = 5 Add '-27' to each side of the equation. 27 + -27 + 3x = 5 + -27 Combine like terms: 27 + -27 = 0 0 + 3x = 5 + -27 3x = 5 + -27 Combine like terms: 5 + -27 = -22 3x = -22 Divide each side by '3'. x = -7.333333333 Simplifying x = -7.333333333
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