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Simplifying x * 11 + 11 = x * 5 + 83 Reorder the terms for easier multiplication: 11x + 11 = x * 5 + 83 Reorder the terms: 11 + 11x = x * 5 + 83 Reorder the terms for easier multiplication: 11 + 11x = 5x + 83 Reorder the terms: 11 + 11x = 83 + 5x Solving 11 + 11x = 83 + 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. 11 + 11x + -5x = 83 + 5x + -5x Combine like terms: 11x + -5x = 6x 11 + 6x = 83 + 5x + -5x Combine like terms: 5x + -5x = 0 11 + 6x = 83 + 0 11 + 6x = 83 Add '-11' to each side of the equation. 11 + -11 + 6x = 83 + -11 Combine like terms: 11 + -11 = 0 0 + 6x = 83 + -11 6x = 83 + -11 Combine like terms: 83 + -11 = 72 6x = 72 Divide each side by '6'. x = 12 Simplifying x = 12
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