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Simplifying 2 + -1(X + -7) = 8 + -4(X + 5) Reorder the terms: 2 + -1(-7 + X) = 8 + -4(X + 5) 2 + (-7 * -1 + X * -1) = 8 + -4(X + 5) 2 + (7 + -1X) = 8 + -4(X + 5) Combine like terms: 2 + 7 = 9 9 + -1X = 8 + -4(X + 5) Reorder the terms: 9 + -1X = 8 + -4(5 + X) 9 + -1X = 8 + (5 * -4 + X * -4) 9 + -1X = 8 + (-20 + -4X) Combine like terms: 8 + -20 = -12 9 + -1X = -12 + -4X Solving 9 + -1X = -12 + -4X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '4X' to each side of the equation. 9 + -1X + 4X = -12 + -4X + 4X Combine like terms: -1X + 4X = 3X 9 + 3X = -12 + -4X + 4X Combine like terms: -4X + 4X = 0 9 + 3X = -12 + 0 9 + 3X = -12 Add '-9' to each side of the equation. 9 + -9 + 3X = -12 + -9 Combine like terms: 9 + -9 = 0 0 + 3X = -12 + -9 3X = -12 + -9 Combine like terms: -12 + -9 = -21 3X = -21 Divide each side by '3'. X = -7 Simplifying X = -7
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