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Simplifying 102 + -5x = 40x + 17 Reorder the terms: 102 + -5x = 17 + 40x Solving 102 + -5x = 17 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 102 + -5x + -40x = 17 + 40x + -40x Combine like terms: -5x + -40x = -45x 102 + -45x = 17 + 40x + -40x Combine like terms: 40x + -40x = 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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