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Simplifying 9(-27x + 18) = -20(11 + -6x) Reorder the terms: 9(18 + -27x) = -20(11 + -6x) (18 * 9 + -27x * 9) = -20(11 + -6x) (162 + -243x) = -20(11 + -6x) 162 + -243x = (11 * -20 + -6x * -20) 162 + -243x = (-220 + 120x) Solving 162 + -243x = -220 + 120x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-120x' to each side of the equation. 162 + -243x + -120x = -220 + 120x + -120x Combine like terms: -243x + -120x = -363x 162 + -363x = -220 + 120x + -120x Combine like terms: 120x + -120x = 0 162 + -363x = -220 + 0 162 + -363x = -220 Add '-162' to each side of the equation. 162 + -162 + -363x = -220 + -162 Combine like terms: 162 + -162 = 0 0 + -363x = -220 + -162 -363x = -220 + -162 Combine like terms: -220 + -162 = -382 -363x = -382 Divide each side by '-363'. x = 1.052341598 Simplifying x = 1.052341598
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