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Simplifying 3(2x + 11) = 11 + -6x Reorder the terms: 3(11 + 2x) = 11 + -6x (11 * 3 + 2x * 3) = 11 + -6x (33 + 6x) = 11 + -6x Solving 33 + 6x = 11 + -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. 33 + 6x + 6x = 11 + -6x + 6x Combine like terms: 6x + 6x = 12x 33 + 12x = 11 + -6x + 6x Combine like terms: -6x + 6x = 0 33 + 12x = 11 + 0 33 + 12x = 11 Add '-33' to each side of the equation. 33 + -33 + 12x = 11 + -33 Combine like terms: 33 + -33 = 0 0 + 12x = 11 + -33 12x = 11 + -33 Combine like terms: 11 + -33 = -22 12x = -22 Divide each side by '12'. x = -1.833333333 Simplifying x = -1.833333333
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