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Simplifying 6x + 27 = 11x + 7 Reorder the terms: 27 + 6x = 11x + 7 Reorder the terms: 27 + 6x = 7 + 11x Solving 27 + 6x = 7 + 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 + 6x + -11x = 7 + 11x + -11x Combine like terms: 6x + -11x = -5x 27 + -5x = 7 + 11x + -11x Combine like terms: 11x + -11x = 0 27 + -5x = 7 + 0 27 + -5x = 7 Add '-27' to each side of the equation. 27 + -27 + -5x = 7 + -27 Combine like terms: 27 + -27 = 0 0 + -5x = 7 + -27 -5x = 7 + -27 Combine like terms: 7 + -27 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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