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Simplifying 6x + 17 = 15x + -82 Reorder the terms: 17 + 6x = 15x + -82 Reorder the terms: 17 + 6x = -82 + 15x Solving 17 + 6x = -82 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 17 + 6x + -15x = -82 + 15x + -15x Combine like terms: 6x + -15x = -9x 17 + -9x = -82 + 15x + -15x Combine like terms: 15x + -15x = 0 17 + -9x = -82 + 0 17 + -9x = -82 Add '-17' to each side of the equation. 17 + -17 + -9x = -82 + -17 Combine like terms: 17 + -17 = 0 0 + -9x = -82 + -17 -9x = -82 + -17 Combine like terms: -82 + -17 = -99 -9x = -99 Divide each side by '-9'. x = 11 Simplifying x = 11
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