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Simplifying 3X + -4(X + -2) = 7 + 5(X + 5) Reorder the terms: 3X + -4(-2 + X) = 7 + 5(X + 5) 3X + (-2 * -4 + X * -4) = 7 + 5(X + 5) 3X + (8 + -4X) = 7 + 5(X + 5) Reorder the terms: 8 + 3X + -4X = 7 + 5(X + 5) Combine like terms: 3X + -4X = -1X 8 + -1X = 7 + 5(X + 5) Reorder the terms: 8 + -1X = 7 + 5(5 + X) 8 + -1X = 7 + (5 * 5 + X * 5) 8 + -1X = 7 + (25 + 5X) Combine like terms: 7 + 25 = 32 8 + -1X = 32 + 5X Solving 8 + -1X = 32 + 5X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-5X' to each side of the equation. 8 + -1X + -5X = 32 + 5X + -5X Combine like terms: -1X + -5X = -6X 8 + -6X = 32 + 5X + -5X Combine like terms: 5X + -5X = 0 8 + -6X = 32 + 0 8 + -6X = 32 Add '-8' to each side of the equation. 8 + -8 + -6X = 32 + -8 Combine like terms: 8 + -8 = 0 0 + -6X = 32 + -8 -6X = 32 + -8 Combine like terms: 32 + -8 = 24 -6X = 24 Divide each side by '-6'. X = -4 Simplifying X = -4
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