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Simplifying 6(2x + 6) = 5x + 8 Reorder the terms: 6(6 + 2x) = 5x + 8 (6 * 6 + 2x * 6) = 5x + 8 (36 + 12x) = 5x + 8 Reorder the terms: 36 + 12x = 8 + 5x Solving 36 + 12x = 8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 36 + 12x + -5x = 8 + 5x + -5x Combine like terms: 12x + -5x = 7x 36 + 7x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 36 + 7x = 8 + 0 36 + 7x = 8 Add '-36' to each side of the equation. 36 + -36 + 7x = 8 + -36 Combine like terms: 36 + -36 = 0 0 + 7x = 8 + -36 7x = 8 + -36 Combine like terms: 8 + -36 = -28 7x = -28 Divide each side by '7'. x = -4 Simplifying x = -4
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