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Simplifying 82 + -3x = 2x + 17 Reorder the terms: 82 + -3x = 17 + 2x Solving 82 + -3x = 17 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 82 + -3x + -2x = 17 + 2x + -2x Combine like terms: -3x + -2x = -5x 82 + -5x = 17 + 2x + -2x Combine like terms: 2x + -2x = 0 82 + -5x = 17 + 0 82 + -5x = 17 Add '-82' to each side of the equation. 82 + -82 + -5x = 17 + -82 Combine like terms: 82 + -82 = 0 0 + -5x = 17 + -82 -5x = 17 + -82 Combine like terms: 17 + -82 = -65 -5x = -65 Divide each side by '-5'. x = 13 Simplifying x = 13
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