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Simplifying 3X + 6 + -5 + 4X = 8X + 9X + -75 + 46 Reorder the terms: 6 + -5 + 3X + 4X = 8X + 9X + -75 + 46 Combine like terms: 6 + -5 = 1 1 + 3X + 4X = 8X + 9X + -75 + 46 Combine like terms: 3X + 4X = 7X 1 + 7X = 8X + 9X + -75 + 46 Reorder the terms: 1 + 7X = -75 + 46 + 8X + 9X Combine like terms: -75 + 46 = -29 1 + 7X = -29 + 8X + 9X Combine like terms: 8X + 9X = 17X 1 + 7X = -29 + 17X Solving 1 + 7X = -29 + 17X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-17X' to each side of the equation. 1 + 7X + -17X = -29 + 17X + -17X Combine like terms: 7X + -17X = -10X 1 + -10X = -29 + 17X + -17X Combine like terms: 17X + -17X = 0 1 + -10X = -29 + 0 1 + -10X = -29 Add '-1' to each side of the equation. 1 + -1 + -10X = -29 + -1 Combine like terms: 1 + -1 = 0 0 + -10X = -29 + -1 -10X = -29 + -1 Combine like terms: -29 + -1 = -30 -10X = -30 Divide each side by '-10'. X = 3 Simplifying X = 3
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