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Simplifying 82 + -7x = 38x + 17 Reorder the terms: 82 + -7x = 17 + 38x Solving 82 + -7x = 17 + 38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38x' to each side of the equation. 82 + -7x + -38x = 17 + 38x + -38x Combine like terms: -7x + -38x = -45x 82 + -45x = 17 + 38x + -38x Combine like terms: 38x + -38x = 0 82 + -45x = 17 + 0 82 + -45x = 17 Add '-82' to each side of the equation. 82 + -82 + -45x = 17 + -82 Combine like terms: 82 + -82 = 0 0 + -45x = 17 + -82 -45x = 17 + -82 Combine like terms: 17 + -82 = -65 -45x = -65 Divide each side by '-45'. x = 1.444444444 Simplifying x = 1.444444444
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