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Simplifying 12(x + 4) + 12 = 6(x + -6) Reorder the terms: 12(4 + x) + 12 = 6(x + -6) (4 * 12 + x * 12) + 12 = 6(x + -6) (48 + 12x) + 12 = 6(x + -6) Reorder the terms: 48 + 12 + 12x = 6(x + -6) Combine like terms: 48 + 12 = 60 60 + 12x = 6(x + -6) Reorder the terms: 60 + 12x = 6(-6 + x) 60 + 12x = (-6 * 6 + x * 6) 60 + 12x = (-36 + 6x) Solving 60 + 12x = -36 + 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. 60 + 12x + -6x = -36 + 6x + -6x Combine like terms: 12x + -6x = 6x 60 + 6x = -36 + 6x + -6x Combine like terms: 6x + -6x = 0 60 + 6x = -36 + 0 60 + 6x = -36 Add '-60' to each side of the equation. 60 + -60 + 6x = -36 + -60 Combine like terms: 60 + -60 = 0 0 + 6x = -36 + -60 6x = -36 + -60 Combine like terms: -36 + -60 = -96 6x = -96 Divide each side by '6'. x = -16 Simplifying x = -16
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