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Simplifying 9(2x + 3) = -26 + -27(x + 2) Reorder the terms: 9(3 + 2x) = -26 + -27(x + 2) (3 * 9 + 2x * 9) = -26 + -27(x + 2) (27 + 18x) = -26 + -27(x + 2) Reorder the terms: 27 + 18x = -26 + -27(2 + x) 27 + 18x = -26 + (2 * -27 + x * -27) 27 + 18x = -26 + (-54 + -27x) Combine like terms: -26 + -54 = -80 27 + 18x = -80 + -27x Solving 27 + 18x = -80 + -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. 27 + 18x + 27x = -80 + -27x + 27x Combine like terms: 18x + 27x = 45x 27 + 45x = -80 + -27x + 27x Combine like terms: -27x + 27x = 0 27 + 45x = -80 + 0 27 + 45x = -80 Add '-27' to each side of the equation. 27 + -27 + 45x = -80 + -27 Combine like terms: 27 + -27 = 0 0 + 45x = -80 + -27 45x = -80 + -27 Combine like terms: -80 + -27 = -107 45x = -107 Divide each side by '45'. x = -2.377777778 Simplifying x = -2.377777778
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