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Simplifying 25 + -1[2X + (5X + 2)] = 2 + (2X + 7) Reorder the terms: 25 + -1[2X + (2 + 5X)] = 2 + (2X + 7) Remove parenthesis around (2 + 5X) 25 + -1[2X + 2 + 5X] = 2 + (2X + 7) Reorder the terms: 25 + -1[2 + 2X + 5X] = 2 + (2X + 7) Combine like terms: 2X + 5X = 7X 25 + -1[2 + 7X] = 2 + (2X + 7) 25 + [2 * -1 + 7X * -1] = 2 + (2X + 7) 25 + [-2 + -7X] = 2 + (2X + 7) Combine like terms: 25 + -2 = 23 23 + -7X = 2 + (2X + 7) Reorder the terms: 23 + -7X = 2 + (7 + 2X) Remove parenthesis around (7 + 2X) 23 + -7X = 2 + 7 + 2X Combine like terms: 2 + 7 = 9 23 + -7X = 9 + 2X Solving 23 + -7X = 9 + 2X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2X' to each side of the equation. 23 + -7X + -2X = 9 + 2X + -2X Combine like terms: -7X + -2X = -9X 23 + -9X = 9 + 2X + -2X Combine like terms: 2X + -2X = 0 23 + -9X = 9 + 0 23 + -9X = 9 Add '-23' to each side of the equation. 23 + -23 + -9X = 9 + -23 Combine like terms: 23 + -23 = 0 0 + -9X = 9 + -23 -9X = 9 + -23 Combine like terms: 9 + -23 = -14 -9X = -14 Divide each side by '-9'. X = 1.555555556 Simplifying X = 1.555555556
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