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Simplifying 11(3x + 2) = (6x + -5) Reorder the terms: 11(2 + 3x) = (6x + -5) (2 * 11 + 3x * 11) = (6x + -5) (22 + 33x) = (6x + -5) Reorder the terms: 22 + 33x = (-5 + 6x) Remove parenthesis around (-5 + 6x) 22 + 33x = -5 + 6x Solving 22 + 33x = -5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 22 + 33x + -6x = -5 + 6x + -6x Combine like terms: 33x + -6x = 27x 22 + 27x = -5 + 6x + -6x Combine like terms: 6x + -6x = 0 22 + 27x = -5 + 0 22 + 27x = -5 Add '-22' to each side of the equation. 22 + -22 + 27x = -5 + -22 Combine like terms: 22 + -22 = 0 0 + 27x = -5 + -22 27x = -5 + -22 Combine like terms: -5 + -22 = -27 27x = -27 Divide each side by '27'. x = -1 Simplifying x = -1
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