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Simplifying 9(3 + x) = 11(x + -5) (3 * 9 + x * 9) = 11(x + -5) (27 + 9x) = 11(x + -5) Reorder the terms: 27 + 9x = 11(-5 + x) 27 + 9x = (-5 * 11 + x * 11) 27 + 9x = (-55 + 11x) Solving 27 + 9x = -55 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 27 + 9x + -11x = -55 + 11x + -11x Combine like terms: 9x + -11x = -2x 27 + -2x = -55 + 11x + -11x Combine like terms: 11x + -11x = 0 27 + -2x = -55 + 0 27 + -2x = -55 Add '-27' to each side of the equation. 27 + -27 + -2x = -55 + -27 Combine like terms: 27 + -27 = 0 0 + -2x = -55 + -27 -2x = -55 + -27 Combine like terms: -55 + -27 = -82 -2x = -82 Divide each side by '-2'. x = 41 Simplifying x = 41
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