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Simplifying 12x + 27 = 11x + 16 Reorder the terms: 27 + 12x = 11x + 16 Reorder the terms: 27 + 12x = 16 + 11x Solving 27 + 12x = 16 + 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 + 12x + -11x = 16 + 11x + -11x Combine like terms: 12x + -11x = 1x 27 + 1x = 16 + 11x + -11x Combine like terms: 11x + -11x = 0 27 + 1x = 16 + 0 27 + 1x = 16 Add '-27' to each side of the equation. 27 + -27 + 1x = 16 + -27 Combine like terms: 27 + -27 = 0 0 + 1x = 16 + -27 1x = 16 + -27 Combine like terms: 16 + -27 = -11 1x = -11 Divide each side by '1'. x = -11 Simplifying x = -11
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