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Simplifying 2x + -100 = 82 + -5x Reorder the terms: -100 + 2x = 82 + -5x Solving -100 + 2x = 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. -100 + 2x + 5x = 82 + -5x + 5x Combine like terms: 2x + 5x = 7x -100 + 7x = 82 + -5x + 5x Combine like terms: -5x + 5x = 0 -100 + 7x = 82 + 0 -100 + 7x = 82 Add '100' to each side of the equation. -100 + 100 + 7x = 82 + 100 Combine like terms: -100 + 100 = 0 0 + 7x = 82 + 100 7x = 82 + 100 Combine like terms: 82 + 100 = 182 7x = 182 Divide each side by '7'. x = 26 Simplifying x = 26
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