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Simplifying 82 + -2x = 3x + 7 Reorder the terms: 82 + -2x = 7 + 3x Solving 82 + -2x = 7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 82 + -2x + -3x = 7 + 3x + -3x Combine like terms: -2x + -3x = -5x 82 + -5x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 82 + -5x = 7 + 0 82 + -5x = 7 Add '-82' to each side of the equation. 82 + -82 + -5x = 7 + -82 Combine like terms: 82 + -82 = 0 0 + -5x = 7 + -82 -5x = 7 + -82 Combine like terms: 7 + -82 = -75 -5x = -75 Divide each side by '-5'. x = 15 Simplifying x = 15
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