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Simplifying 82 + -4x = 7x + 17 Reorder the terms: 82 + -4x = 17 + 7x Solving 82 + -4x = 17 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 82 + -4x + -7x = 17 + 7x + -7x Combine like terms: -4x + -7x = -11x 82 + -11x = 17 + 7x + -7x Combine like terms: 7x + -7x = 0 82 + -11x = 17 + 0 82 + -11x = 17 Add '-82' to each side of the equation. 82 + -82 + -11x = 17 + -82 Combine like terms: 82 + -82 = 0 0 + -11x = 17 + -82 -11x = 17 + -82 Combine like terms: 17 + -82 = -65 -11x = -65 Divide each side by '-11'. x = 5.909090909 Simplifying x = 5.909090909
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