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Simplifying 12x + 5 = x + 82 Reorder the terms: 5 + 12x = x + 82 Reorder the terms: 5 + 12x = 82 + x Solving 5 + 12x = 82 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5 + 12x + -1x = 82 + x + -1x Combine like terms: 12x + -1x = 11x 5 + 11x = 82 + x + -1x Combine like terms: x + -1x = 0 5 + 11x = 82 + 0 5 + 11x = 82 Add '-5' to each side of the equation. 5 + -5 + 11x = 82 + -5 Combine like terms: 5 + -5 = 0 0 + 11x = 82 + -5 11x = 82 + -5 Combine like terms: 82 + -5 = 77 11x = 77 Divide each side by '11'. x = 7 Simplifying x = 7
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