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Simplifying 11x + 27 = 5x + 75 Reorder the terms: 27 + 11x = 5x + 75 Reorder the terms: 27 + 11x = 75 + 5x Solving 27 + 11x = 75 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 27 + 11x + -5x = 75 + 5x + -5x Combine like terms: 11x + -5x = 6x 27 + 6x = 75 + 5x + -5x Combine like terms: 5x + -5x = 0 27 + 6x = 75 + 0 27 + 6x = 75 Add '-27' to each side of the equation. 27 + -27 + 6x = 75 + -27 Combine like terms: 27 + -27 = 0 0 + 6x = 75 + -27 6x = 75 + -27 Combine like terms: 75 + -27 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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