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Simplifying 6x + 12 = -6(x + 4) Reorder the terms: 12 + 6x = -6(x + 4) Reorder the terms: 12 + 6x = -6(4 + x) 12 + 6x = (4 * -6 + x * -6) 12 + 6x = (-24 + -6x) Solving 12 + 6x = -24 + -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. 12 + 6x + 6x = -24 + -6x + 6x Combine like terms: 6x + 6x = 12x 12 + 12x = -24 + -6x + 6x Combine like terms: -6x + 6x = 0 12 + 12x = -24 + 0 12 + 12x = -24 Add '-12' to each side of the equation. 12 + -12 + 12x = -24 + -12 Combine like terms: 12 + -12 = 0 0 + 12x = -24 + -12 12x = -24 + -12 Combine like terms: -24 + -12 = -36 12x = -36 Divide each side by '12'. x = -3 Simplifying x = -3
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