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Simplifying 9X + 45 + -5X = 16 + 5 * 6 + 3X Reorder the terms: 45 + 9X + -5X = 16 + 5 * 6 + 3X Combine like terms: 9X + -5X = 4X 45 + 4X = 16 + 5 * 6 + 3X Multiply 5 * 6 45 + 4X = 16 + 30 + 3X Combine like terms: 16 + 30 = 46 45 + 4X = 46 + 3X Solving 45 + 4X = 46 + 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. 45 + 4X + -3X = 46 + 3X + -3X Combine like terms: 4X + -3X = 1X 45 + 1X = 46 + 3X + -3X Combine like terms: 3X + -3X = 0 45 + 1X = 46 + 0 45 + 1X = 46 Add '-45' to each side of the equation. 45 + -45 + 1X = 46 + -45 Combine like terms: 45 + -45 = 0 0 + 1X = 46 + -45 1X = 46 + -45 Combine like terms: 46 + -45 = 1 1X = 1 Divide each side by '1'. X = 1 Simplifying X = 1
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