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Simplifying 46x + 28(423 + -1x) = 14814 46x + (423 * 28 + -1x * 28) = 14814 46x + (11844 + -28x) = 14814 Reorder the terms: 11844 + 46x + -28x = 14814 Combine like terms: 46x + -28x = 18x 11844 + 18x = 14814 Solving 11844 + 18x = 14814 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11844' to each side of the equation. 11844 + -11844 + 18x = 14814 + -11844 Combine like terms: 11844 + -11844 = 0 0 + 18x = 14814 + -11844 18x = 14814 + -11844 Combine like terms: 14814 + -11844 = 2970 18x = 2970 Divide each side by '18'. x = 165 Simplifying x = 165
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