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Simplifying 9(X + 10) + X = 3(X + 3) + 2 Reorder the terms: 9(10 + X) + X = 3(X + 3) + 2 (10 * 9 + X * 9) + X = 3(X + 3) + 2 (90 + 9X) + X = 3(X + 3) + 2 Combine like terms: 9X + X = 10X 90 + 10X = 3(X + 3) + 2 Reorder the terms: 90 + 10X = 3(3 + X) + 2 90 + 10X = (3 * 3 + X * 3) + 2 90 + 10X = (9 + 3X) + 2 Reorder the terms: 90 + 10X = 9 + 2 + 3X Combine like terms: 9 + 2 = 11 90 + 10X = 11 + 3X Solving 90 + 10X = 11 + 3X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3X' to each side of the equation. 90 + 10X + -3X = 11 + 3X + -3X Combine like terms: 10X + -3X = 7X 90 + 7X = 11 + 3X + -3X Combine like terms: 3X + -3X = 0 90 + 7X = 11 + 0 90 + 7X = 11 Add '-90' to each side of the equation. 90 + -90 + 7X = 11 + -90 Combine like terms: 90 + -90 = 0 0 + 7X = 11 + -90 7X = 11 + -90 Combine like terms: 11 + -90 = -79 7X = -79 Divide each side by '7'. X = -11.28571429 Simplifying X = -11.28571429
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