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Simplifying 6x + 26 = 15x + 82 Reorder the terms: 26 + 6x = 15x + 82 Reorder the terms: 26 + 6x = 82 + 15x Solving 26 + 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. 26 + 6x + -15x = 82 + 15x + -15x Combine like terms: 6x + -15x = -9x 26 + -9x = 82 + 15x + -15x Combine like terms: 15x + -15x = 0 26 + -9x = 82 + 0 26 + -9x = 82 Add '-26' to each side of the equation. 26 + -26 + -9x = 82 + -26 Combine like terms: 26 + -26 = 0 0 + -9x = 82 + -26 -9x = 82 + -26 Combine like terms: 82 + -26 = 56 -9x = 56 Divide each side by '-9'. x = -6.222222222 Simplifying x = -6.222222222
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