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Simplifying 6(6x + 6) = 12x + 12 Reorder the terms: 6(6 + 6x) = 12x + 12 (6 * 6 + 6x * 6) = 12x + 12 (36 + 36x) = 12x + 12 Reorder the terms: 36 + 36x = 12 + 12x Solving 36 + 36x = 12 + 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. 36 + 36x + -12x = 12 + 12x + -12x Combine like terms: 36x + -12x = 24x 36 + 24x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 36 + 24x = 12 + 0 36 + 24x = 12 Add '-36' to each side of the equation. 36 + -36 + 24x = 12 + -36 Combine like terms: 36 + -36 = 0 0 + 24x = 12 + -36 24x = 12 + -36 Combine like terms: 12 + -36 = -24 24x = -24 Divide each side by '24'. x = -1 Simplifying x = -1
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