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Simplifying 27x + 11 + -11x = 14x + -12 + 11 Reorder the terms: 11 + 27x + -11x = 14x + -12 + 11 Combine like terms: 27x + -11x = 16x 11 + 16x = 14x + -12 + 11 Reorder the terms: 11 + 16x = -12 + 11 + 14x Combine like terms: -12 + 11 = -1 11 + 16x = -1 + 14x Solving 11 + 16x = -1 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 11 + 16x + -14x = -1 + 14x + -14x Combine like terms: 16x + -14x = 2x 11 + 2x = -1 + 14x + -14x Combine like terms: 14x + -14x = 0 11 + 2x = -1 + 0 11 + 2x = -1 Add '-11' to each side of the equation. 11 + -11 + 2x = -1 + -11 Combine like terms: 11 + -11 = 0 0 + 2x = -1 + -11 2x = -1 + -11 Combine like terms: -1 + -11 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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