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Simplifying 5(5X + 1) = 9(4X + 9) Reorder the terms: 5(1 + 5X) = 9(4X + 9) (1 * 5 + 5X * 5) = 9(4X + 9) (5 + 25X) = 9(4X + 9) Reorder the terms: 5 + 25X = 9(9 + 4X) 5 + 25X = (9 * 9 + 4X * 9) 5 + 25X = (81 + 36X) Solving 5 + 25X = 81 + 36X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-36X' to each side of the equation. 5 + 25X + -36X = 81 + 36X + -36X Combine like terms: 25X + -36X = -11X 5 + -11X = 81 + 36X + -36X Combine like terms: 36X + -36X = 0 5 + -11X = 81 + 0 5 + -11X = 81 Add '-5' to each side of the equation. 5 + -5 + -11X = 81 + -5 Combine like terms: 5 + -5 = 0 0 + -11X = 81 + -5 -11X = 81 + -5 Combine like terms: 81 + -5 = 76 -11X = 76 Divide each side by '-11'. X = -6.909090909 Simplifying X = -6.909090909
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