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Simplifying -170 + 5x = 82 + -7x Solving -170 + 5x = 82 + -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. -170 + 5x + 7x = 82 + -7x + 7x Combine like terms: 5x + 7x = 12x -170 + 12x = 82 + -7x + 7x Combine like terms: -7x + 7x = 0 -170 + 12x = 82 + 0 -170 + 12x = 82 Add '170' to each side of the equation. -170 + 170 + 12x = 82 + 170 Combine like terms: -170 + 170 = 0 0 + 12x = 82 + 170 12x = 82 + 170 Combine like terms: 82 + 170 = 252 12x = 252 Divide each side by '12'. x = 21 Simplifying x = 21
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