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Simplifying 12(23x + 46y) + 23 = 762 (23x * 12 + 46y * 12) + 23 = 762 (276x + 552y) + 23 = 762 Reorder the terms: 23 + 276x + 552y = 762 Solving 23 + 276x + 552y = 762 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + 276x + -23 + 552y = 762 + -23 Reorder the terms: 23 + -23 + 276x + 552y = 762 + -23 Combine like terms: 23 + -23 = 0 0 + 276x + 552y = 762 + -23 276x + 552y = 762 + -23 Combine like terms: 762 + -23 = 739 276x + 552y = 739 Add '-552y' to each side of the equation. 276x + 552y + -552y = 739 + -552y Combine like terms: 552y + -552y = 0 276x + 0 = 739 + -552y 276x = 739 + -552y Divide each side by '276'. x = 2.677536232 + -2y Simplifying x = 2.677536232 + -2y
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