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Simplifying 7(5X + 8) = 12 + -1(4 + X) Reorder the terms: 7(8 + 5X) = 12 + -1(4 + X) (8 * 7 + 5X * 7) = 12 + -1(4 + X) (56 + 35X) = 12 + -1(4 + X) 56 + 35X = 12 + (4 * -1 + X * -1) 56 + 35X = 12 + (-4 + -1X) Combine like terms: 12 + -4 = 8 56 + 35X = 8 + -1X Solving 56 + 35X = 8 + -1X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add 'X' to each side of the equation. 56 + 35X + X = 8 + -1X + X Combine like terms: 35X + X = 36X 56 + 36X = 8 + -1X + X Combine like terms: -1X + X = 0 56 + 36X = 8 + 0 56 + 36X = 8 Add '-56' to each side of the equation. 56 + -56 + 36X = 8 + -56 Combine like terms: 56 + -56 = 0 0 + 36X = 8 + -56 36X = 8 + -56 Combine like terms: 8 + -56 = -48 36X = -48 Divide each side by '36'. X = -1.333333333 Simplifying X = -1.333333333
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