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Simplifying 4x + 2(4x + -12) = -84 Reorder the terms: 4x + 2(-12 + 4x) = -84 4x + (-12 * 2 + 4x * 2) = -84 4x + (-24 + 8x) = -84 Reorder the terms: -24 + 4x + 8x = -84 Combine like terms: 4x + 8x = 12x -24 + 12x = -84 Solving -24 + 12x = -84 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 12x = -84 + 24 Combine like terms: -24 + 24 = 0 0 + 12x = -84 + 24 12x = -84 + 24 Combine like terms: -84 + 24 = -60 12x = -60 Divide each side by '12'. x = -5 Simplifying x = -5
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