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Simplifying 9(X + 3) + -5(X + -2) = 1 Reorder the terms: 9(3 + X) + -5(X + -2) = 1 (3 * 9 + X * 9) + -5(X + -2) = 1 (27 + 9X) + -5(X + -2) = 1 Reorder the terms: 27 + 9X + -5(-2 + X) = 1 27 + 9X + (-2 * -5 + X * -5) = 1 27 + 9X + (10 + -5X) = 1 Reorder the terms: 27 + 10 + 9X + -5X = 1 Combine like terms: 27 + 10 = 37 37 + 9X + -5X = 1 Combine like terms: 9X + -5X = 4X 37 + 4X = 1 Solving 37 + 4X = 1 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + 4X = 1 + -37 Combine like terms: 37 + -37 = 0 0 + 4X = 1 + -37 4X = 1 + -37 Combine like terms: 1 + -37 = -36 4X = -36 Divide each side by '4'. X = -9 Simplifying X = -9
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