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Simplifying 12 + 12(x + 5) = 6(x + 8) Reorder the terms: 12 + 12(5 + x) = 6(x + 8) 12 + (5 * 12 + x * 12) = 6(x + 8) 12 + (60 + 12x) = 6(x + 8) Combine like terms: 12 + 60 = 72 72 + 12x = 6(x + 8) Reorder the terms: 72 + 12x = 6(8 + x) 72 + 12x = (8 * 6 + x * 6) 72 + 12x = (48 + 6x) Solving 72 + 12x = 48 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 72 + 12x + -6x = 48 + 6x + -6x Combine like terms: 12x + -6x = 6x 72 + 6x = 48 + 6x + -6x Combine like terms: 6x + -6x = 0 72 + 6x = 48 + 0 72 + 6x = 48 Add '-72' to each side of the equation. 72 + -72 + 6x = 48 + -72 Combine like terms: 72 + -72 = 0 0 + 6x = 48 + -72 6x = 48 + -72 Combine like terms: 48 + -72 = -24 6x = -24 Divide each side by '6'. x = -4 Simplifying x = -4
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