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Simplifying 12x + 5 = 6x + 46 Reorder the terms: 5 + 12x = 6x + 46 Reorder the terms: 5 + 12x = 46 + 6x Solving 5 + 12x = 46 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 5 + 12x + -6x = 46 + 6x + -6x Combine like terms: 12x + -6x = 6x 5 + 6x = 46 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + 6x = 46 + 0 5 + 6x = 46 Add '-5' to each side of the equation. 5 + -5 + 6x = 46 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 46 + -5 6x = 46 + -5 Combine like terms: 46 + -5 = 41 6x = 41 Divide each side by '6'. x = 6.833333333 Simplifying x = 6.833333333
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