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Simplifying 13(x + 2) = 8x + 86 Reorder the terms: 13(2 + x) = 8x + 86 (2 * 13 + x * 13) = 8x + 86 (26 + 13x) = 8x + 86 Reorder the terms: 26 + 13x = 86 + 8x Solving 26 + 13x = 86 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 26 + 13x + -8x = 86 + 8x + -8x Combine like terms: 13x + -8x = 5x 26 + 5x = 86 + 8x + -8x Combine like terms: 8x + -8x = 0 26 + 5x = 86 + 0 26 + 5x = 86 Add '-26' to each side of the equation. 26 + -26 + 5x = 86 + -26 Combine like terms: 26 + -26 = 0 0 + 5x = 86 + -26 5x = 86 + -26 Combine like terms: 86 + -26 = 60 5x = 60 Divide each side by '5'. x = 12 Simplifying x = 12
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