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Simplifying 17x + 82 = 10x + 89 Reorder the terms: 82 + 17x = 10x + 89 Reorder the terms: 82 + 17x = 89 + 10x Solving 82 + 17x = 89 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 82 + 17x + -10x = 89 + 10x + -10x Combine like terms: 17x + -10x = 7x 82 + 7x = 89 + 10x + -10x Combine like terms: 10x + -10x = 0 82 + 7x = 89 + 0 82 + 7x = 89 Add '-82' to each side of the equation. 82 + -82 + 7x = 89 + -82 Combine like terms: 82 + -82 = 0 0 + 7x = 89 + -82 7x = 89 + -82 Combine like terms: 89 + -82 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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