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Simplifying 7x + 170 = 5x + 82 Reorder the terms: 170 + 7x = 5x + 82 Reorder the terms: 170 + 7x = 82 + 5x Solving 170 + 7x = 82 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 170 + 7x + -5x = 82 + 5x + -5x Combine like terms: 7x + -5x = 2x 170 + 2x = 82 + 5x + -5x Combine like terms: 5x + -5x = 0 170 + 2x = 82 + 0 170 + 2x = 82 Add '-170' to each side of the equation. 170 + -170 + 2x = 82 + -170 Combine like terms: 170 + -170 = 0 0 + 2x = 82 + -170 2x = 82 + -170 Combine like terms: 82 + -170 = -88 2x = -88 Divide each side by '2'. x = -44 Simplifying x = -44
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