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Simplifying 9(X + 7) = 5[X + -1(2 + -1X)] Reorder the terms: 9(7 + X) = 5[X + -1(2 + -1X)] (7 * 9 + X * 9) = 5[X + -1(2 + -1X)] (63 + 9X) = 5[X + -1(2 + -1X)] 63 + 9X = 5[X + (2 * -1 + -1X * -1)] 63 + 9X = 5[X + (-2 + 1X)] Reorder the terms: 63 + 9X = 5[-2 + X + 1X] Combine like terms: X + 1X = 2X 63 + 9X = 5[-2 + 2X] 63 + 9X = [-2 * 5 + 2X * 5] 63 + 9X = [-10 + 10X] Solving 63 + 9X = -10 + 10X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-10X' to each side of the equation. 63 + 9X + -10X = -10 + 10X + -10X Combine like terms: 9X + -10X = -1X 63 + -1X = -10 + 10X + -10X Combine like terms: 10X + -10X = 0 63 + -1X = -10 + 0 63 + -1X = -10 Add '-63' to each side of the equation. 63 + -63 + -1X = -10 + -63 Combine like terms: 63 + -63 = 0 0 + -1X = -10 + -63 -1X = -10 + -63 Combine like terms: -10 + -63 = -73 -1X = -73 Divide each side by '-1'. X = 73 Simplifying X = 73
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