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Simplifying 8x + 3(x + 9) = 27 + -3(x + 6) Reorder the terms: 8x + 3(9 + x) = 27 + -3(x + 6) 8x + (9 * 3 + x * 3) = 27 + -3(x + 6) 8x + (27 + 3x) = 27 + -3(x + 6) Reorder the terms: 27 + 8x + 3x = 27 + -3(x + 6) Combine like terms: 8x + 3x = 11x 27 + 11x = 27 + -3(x + 6) Reorder the terms: 27 + 11x = 27 + -3(6 + x) 27 + 11x = 27 + (6 * -3 + x * -3) 27 + 11x = 27 + (-18 + -3x) Combine like terms: 27 + -18 = 9 27 + 11x = 9 + -3x Solving 27 + 11x = 9 + -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 + 11x + 3x = 9 + -3x + 3x Combine like terms: 11x + 3x = 14x 27 + 14x = 9 + -3x + 3x Combine like terms: -3x + 3x = 0 27 + 14x = 9 + 0 27 + 14x = 9 Add '-27' to each side of the equation. 27 + -27 + 14x = 9 + -27 Combine like terms: 27 + -27 = 0 0 + 14x = 9 + -27 14x = 9 + -27 Combine like terms: 9 + -27 = -18 14x = -18 Divide each side by '14'. x = -1.285714286 Simplifying x = -1.285714286
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