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Simplifying 102 + -6x = 39x + 17 Reorder the terms: 102 + -6x = 17 + 39x Solving 102 + -6x = 17 + 39x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-39x' to each side of the equation. 102 + -6x + -39x = 17 + 39x + -39x Combine like terms: -6x + -39x = -45x 102 + -45x = 17 + 39x + -39x Combine like terms: 39x + -39x = 0 102 + -45x = 17 + 0 102 + -45x = 17 Add '-102' to each side of the equation. 102 + -102 + -45x = 17 + -102 Combine like terms: 102 + -102 = 0 0 + -45x = 17 + -102 -45x = 17 + -102 Combine like terms: 17 + -102 = -85 -45x = -85 Divide each side by '-45'. x = 1.888888889 Simplifying x = 1.888888889
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