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Simplifying -6 + 4(-6 + 3x) = -114 -6 + (-6 * 4 + 3x * 4) = -114 -6 + (-24 + 12x) = -114 Combine like terms: -6 + -24 = -30 -30 + 12x = -114 Solving -30 + 12x = -114 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 12x = -114 + 30 Combine like terms: -30 + 30 = 0 0 + 12x = -114 + 30 12x = -114 + 30 Combine like terms: -114 + 30 = -84 12x = -84 Divide each side by '12'. x = -7 Simplifying x = -7
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