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Simplifying 13(x + 6) = 12x + 86 Reorder the terms: 13(6 + x) = 12x + 86 (6 * 13 + x * 13) = 12x + 86 (78 + 13x) = 12x + 86 Reorder the terms: 78 + 13x = 86 + 12x Solving 78 + 13x = 86 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 78 + 13x + -12x = 86 + 12x + -12x Combine like terms: 13x + -12x = 1x 78 + 1x = 86 + 12x + -12x Combine like terms: 12x + -12x = 0 78 + 1x = 86 + 0 78 + 1x = 86 Add '-78' to each side of the equation. 78 + -78 + 1x = 86 + -78 Combine like terms: 78 + -78 = 0 0 + 1x = 86 + -78 1x = 86 + -78 Combine like terms: 86 + -78 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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