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Simplifying 6(2 + 6x) + 6 = -12 + 6x (2 * 6 + 6x * 6) + 6 = -12 + 6x (12 + 36x) + 6 = -12 + 6x Reorder the terms: 12 + 6 + 36x = -12 + 6x Combine like terms: 12 + 6 = 18 18 + 36x = -12 + 6x Solving 18 + 36x = -12 + 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. 18 + 36x + -6x = -12 + 6x + -6x Combine like terms: 36x + -6x = 30x 18 + 30x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 18 + 30x = -12 + 0 18 + 30x = -12 Add '-18' to each side of the equation. 18 + -18 + 30x = -12 + -18 Combine like terms: 18 + -18 = 0 0 + 30x = -12 + -18 30x = -12 + -18 Combine like terms: -12 + -18 = -30 30x = -30 Divide each side by '30'. x = -1 Simplifying x = -1
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