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Simplifying 4x + 12 = -84 + -8x Reorder the terms: 12 + 4x = -84 + -8x Solving 12 + 4x = -84 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 12 + 4x + 8x = -84 + -8x + 8x Combine like terms: 4x + 8x = 12x 12 + 12x = -84 + -8x + 8x Combine like terms: -8x + 8x = 0 12 + 12x = -84 + 0 12 + 12x = -84 Add '-12' to each side of the equation. 12 + -12 + 12x = -84 + -12 Combine like terms: 12 + -12 = 0 0 + 12x = -84 + -12 12x = -84 + -12 Combine like terms: -84 + -12 = -96 12x = -96 Divide each side by '12'. x = -8 Simplifying x = -8
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