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Simplifying 9(X + 5) = 7(X + 3) Reorder the terms: 9(5 + X) = 7(X + 3) (5 * 9 + X * 9) = 7(X + 3) (45 + 9X) = 7(X + 3) Reorder the terms: 45 + 9X = 7(3 + X) 45 + 9X = (3 * 7 + X * 7) 45 + 9X = (21 + 7X) Solving 45 + 9X = 21 + 7X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-7X' to each side of the equation. 45 + 9X + -7X = 21 + 7X + -7X Combine like terms: 9X + -7X = 2X 45 + 2X = 21 + 7X + -7X Combine like terms: 7X + -7X = 0 45 + 2X = 21 + 0 45 + 2X = 21 Add '-45' to each side of the equation. 45 + -45 + 2X = 21 + -45 Combine like terms: 45 + -45 = 0 0 + 2X = 21 + -45 2X = 21 + -45 Combine like terms: 21 + -45 = -24 2X = -24 Divide each side by '2'. X = -12 Simplifying X = -12
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