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Simplifying 11x + 5 = 5x + 27 + 20 Reorder the terms: 5 + 11x = 5x + 27 + 20 Reorder the terms: 5 + 11x = 27 + 20 + 5x Combine like terms: 27 + 20 = 47 5 + 11x = 47 + 5x Solving 5 + 11x = 47 + 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. 5 + 11x + -5x = 47 + 5x + -5x Combine like terms: 11x + -5x = 6x 5 + 6x = 47 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + 6x = 47 + 0 5 + 6x = 47 Add '-5' to each side of the equation. 5 + -5 + 6x = 47 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 47 + -5 6x = 47 + -5 Combine like terms: 47 + -5 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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