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Simplifying -1[7X + -1(17X + 2)] = 2 + (9X + 4) Reorder the terms: -1[7X + -1(2 + 17X)] = 2 + (9X + 4) -1[7X + (2 * -1 + 17X * -1)] = 2 + (9X + 4) -1[7X + (-2 + -17X)] = 2 + (9X + 4) Reorder the terms: -1[-2 + 7X + -17X] = 2 + (9X + 4) Combine like terms: 7X + -17X = -10X -1[-2 + -10X] = 2 + (9X + 4) [-2 * -1 + -10X * -1] = 2 + (9X + 4) [2 + 10X] = 2 + (9X + 4) Reorder the terms: 2 + 10X = 2 + (4 + 9X) Remove parenthesis around (4 + 9X) 2 + 10X = 2 + 4 + 9X Combine like terms: 2 + 4 = 6 2 + 10X = 6 + 9X Solving 2 + 10X = 6 + 9X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-9X' to each side of the equation. 2 + 10X + -9X = 6 + 9X + -9X Combine like terms: 10X + -9X = 1X 2 + 1X = 6 + 9X + -9X Combine like terms: 9X + -9X = 0 2 + 1X = 6 + 0 2 + 1X = 6 Add '-2' to each side of the equation. 2 + -2 + 1X = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 1X = 6 + -2 1X = 6 + -2 Combine like terms: 6 + -2 = 4 1X = 4 Divide each side by '1'. X = 4 Simplifying X = 4
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