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Simplifying 3(4x + -2) + 4 = -30 + -8 Reorder the terms: 3(-2 + 4x) + 4 = -30 + -8 (-2 * 3 + 4x * 3) + 4 = -30 + -8 (-6 + 12x) + 4 = -30 + -8 Reorder the terms: -6 + 4 + 12x = -30 + -8 Combine like terms: -6 + 4 = -2 -2 + 12x = -30 + -8 Combine like terms: -30 + -8 = -38 -2 + 12x = -38 Solving -2 + 12x = -38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 12x = -38 + 2 Combine like terms: -2 + 2 = 0 0 + 12x = -38 + 2 12x = -38 + 2 Combine like terms: -38 + 2 = -36 12x = -36 Divide each side by '12'. x = -3 Simplifying x = -3
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