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Simplifying 3x + -9x + 82 = 5x + 38 Reorder the terms: 82 + 3x + -9x = 5x + 38 Combine like terms: 3x + -9x = -6x 82 + -6x = 5x + 38 Reorder the terms: 82 + -6x = 38 + 5x Solving 82 + -6x = 38 + 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. 82 + -6x + -5x = 38 + 5x + -5x Combine like terms: -6x + -5x = -11x 82 + -11x = 38 + 5x + -5x Combine like terms: 5x + -5x = 0 82 + -11x = 38 + 0 82 + -11x = 38 Add '-82' to each side of the equation. 82 + -82 + -11x = 38 + -82 Combine like terms: 82 + -82 = 0 0 + -11x = 38 + -82 -11x = 38 + -82 Combine like terms: 38 + -82 = -44 -11x = -44 Divide each side by '-11'. x = 4 Simplifying x = 4
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