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Simplifying 25x + 11(50 + -1x) = 509 25x + (50 * 11 + -1x * 11) = 509 25x + (550 + -11x) = 509 Reorder the terms: 550 + 25x + -11x = 509 Combine like terms: 25x + -11x = 14x 550 + 14x = 509 Solving 550 + 14x = 509 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-550' to each side of the equation. 550 + -550 + 14x = 509 + -550 Combine like terms: 550 + -550 = 0 0 + 14x = 509 + -550 14x = 509 + -550 Combine like terms: 509 + -550 = -41 14x = -41 Divide each side by '14'. x = -2.928571429 Simplifying x = -2.928571429
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