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Simplifying 17 + 0.75x = 82 + 0.7x Solving 17 + 0.75x = 82 + 0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7x' to each side of the equation. 17 + 0.75x + -0.7x = 82 + 0.7x + -0.7x Combine like terms: 0.75x + -0.7x = 0.05x 17 + 0.05x = 82 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 17 + 0.05x = 82 + 0.0 17 + 0.05x = 82 Add '-17' to each side of the equation. 17 + -17 + 0.05x = 82 + -17 Combine like terms: 17 + -17 = 0 0 + 0.05x = 82 + -17 0.05x = 82 + -17 Combine like terms: 82 + -17 = 65 0.05x = 65 Divide each side by '0.05'. x = 1300 Simplifying x = 1300
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