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Simplifying 25x + 11(50 + -2x) = 509 25x + (50 * 11 + -2x * 11) = 509 25x + (550 + -22x) = 509 Reorder the terms: 550 + 25x + -22x = 509 Combine like terms: 25x + -22x = 3x 550 + 3x = 509 Solving 550 + 3x = 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 + 3x = 509 + -550 Combine like terms: 550 + -550 = 0 0 + 3x = 509 + -550 3x = 509 + -550 Combine like terms: 509 + -550 = -41 3x = -41 Divide each side by '3'. x = -13.66666667 Simplifying x = -13.66666667
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