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Simplifying 3 + 13x + -1 = 9x + 82 + -6x Reorder the terms: 3 + -1 + 13x = 9x + 82 + -6x Combine like terms: 3 + -1 = 2 2 + 13x = 9x + 82 + -6x Reorder the terms: 2 + 13x = 82 + 9x + -6x Combine like terms: 9x + -6x = 3x 2 + 13x = 82 + 3x Solving 2 + 13x = 82 + 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. 2 + 13x + -3x = 82 + 3x + -3x Combine like terms: 13x + -3x = 10x 2 + 10x = 82 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + 10x = 82 + 0 2 + 10x = 82 Add '-2' to each side of the equation. 2 + -2 + 10x = 82 + -2 Combine like terms: 2 + -2 = 0 0 + 10x = 82 + -2 10x = 82 + -2 Combine like terms: 82 + -2 = 80 10x = 80 Divide each side by '10'. x = 8 Simplifying x = 8
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