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Simplifying -4(X + 7) + 32 = 11 + -5X Reorder the terms: -4(7 + X) + 32 = 11 + -5X (7 * -4 + X * -4) + 32 = 11 + -5X (-28 + -4X) + 32 = 11 + -5X Reorder the terms: -28 + 32 + -4X = 11 + -5X Combine like terms: -28 + 32 = 4 4 + -4X = 11 + -5X Solving 4 + -4X = 11 + -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. 4 + -4X + 5X = 11 + -5X + 5X Combine like terms: -4X + 5X = 1X 4 + 1X = 11 + -5X + 5X Combine like terms: -5X + 5X = 0 4 + 1X = 11 + 0 4 + 1X = 11 Add '-4' to each side of the equation. 4 + -4 + 1X = 11 + -4 Combine like terms: 4 + -4 = 0 0 + 1X = 11 + -4 1X = 11 + -4 Combine like terms: 11 + -4 = 7 1X = 7 Divide each side by '1'. X = 7 Simplifying X = 7
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