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Simplifying 82 + -3x = 42x + 17 Reorder the terms: 82 + -3x = 17 + 42x Solving 82 + -3x = 17 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 82 + -3x + -42x = 17 + 42x + -42x Combine like terms: -3x + -42x = -45x 82 + -45x = 17 + 42x + -42x Combine like terms: 42x + -42x = 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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