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Simplifying 5(X + -13) + -7(6 + -1X) + 29 = 50 + -3(8 + -1X) Reorder the terms: 5(-13 + X) + -7(6 + -1X) + 29 = 50 + -3(8 + -1X) (-13 * 5 + X * 5) + -7(6 + -1X) + 29 = 50 + -3(8 + -1X) (-65 + 5X) + -7(6 + -1X) + 29 = 50 + -3(8 + -1X) -65 + 5X + (6 * -7 + -1X * -7) + 29 = 50 + -3(8 + -1X) -65 + 5X + (-42 + 7X) + 29 = 50 + -3(8 + -1X) Reorder the terms: -65 + -42 + 29 + 5X + 7X = 50 + -3(8 + -1X) Combine like terms: -65 + -42 = -107 -107 + 29 + 5X + 7X = 50 + -3(8 + -1X) Combine like terms: -107 + 29 = -78 -78 + 5X + 7X = 50 + -3(8 + -1X) Combine like terms: 5X + 7X = 12X -78 + 12X = 50 + -3(8 + -1X) -78 + 12X = 50 + (8 * -3 + -1X * -3) -78 + 12X = 50 + (-24 + 3X) Combine like terms: 50 + -24 = 26 -78 + 12X = 26 + 3X Solving -78 + 12X = 26 + 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. -78 + 12X + -3X = 26 + 3X + -3X Combine like terms: 12X + -3X = 9X -78 + 9X = 26 + 3X + -3X Combine like terms: 3X + -3X = 0 -78 + 9X = 26 + 0 -78 + 9X = 26 Add '78' to each side of the equation. -78 + 78 + 9X = 26 + 78 Combine like terms: -78 + 78 = 0 0 + 9X = 26 + 78 9X = 26 + 78 Combine like terms: 26 + 78 = 104 9X = 104 Divide each side by '9'. X = 11.55555556 Simplifying X = 11.55555556
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