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Simplifying 6X + 2 + -4X + 102 = 17X + 6 + -2 + 72 Reorder the terms: 2 + 102 + 6X + -4X = 17X + 6 + -2 + 72 Combine like terms: 2 + 102 = 104 104 + 6X + -4X = 17X + 6 + -2 + 72 Combine like terms: 6X + -4X = 2X 104 + 2X = 17X + 6 + -2 + 72 Reorder the terms: 104 + 2X = 6 + -2 + 72 + 17X Combine like terms: 6 + -2 = 4 104 + 2X = 4 + 72 + 17X Combine like terms: 4 + 72 = 76 104 + 2X = 76 + 17X Solving 104 + 2X = 76 + 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. 104 + 2X + -17X = 76 + 17X + -17X Combine like terms: 2X + -17X = -15X 104 + -15X = 76 + 17X + -17X Combine like terms: 17X + -17X = 0 104 + -15X = 76 + 0 104 + -15X = 76 Add '-104' to each side of the equation. 104 + -104 + -15X = 76 + -104 Combine like terms: 104 + -104 = 0 0 + -15X = 76 + -104 -15X = 76 + -104 Combine like terms: 76 + -104 = -28 -15X = -28 Divide each side by '-15'. X = 1.866666667 Simplifying X = 1.866666667
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