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Simplifying 6x + 46 = 3x + 97 Reorder the terms: 46 + 6x = 3x + 97 Reorder the terms: 46 + 6x = 97 + 3x Solving 46 + 6x = 97 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 46 + 6x + -3x = 97 + 3x + -3x Combine like terms: 6x + -3x = 3x 46 + 3x = 97 + 3x + -3x Combine like terms: 3x + -3x = 0 46 + 3x = 97 + 0 46 + 3x = 97 Add '-46' to each side of the equation. 46 + -46 + 3x = 97 + -46 Combine like terms: 46 + -46 = 0 0 + 3x = 97 + -46 3x = 97 + -46 Combine like terms: 97 + -46 = 51 3x = 51 Divide each side by '3'. x = 17 Simplifying x = 17
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