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Simplifying 3x + 6(5 + -4x) = -12 3x + (5 * 6 + -4x * 6) = -12 3x + (30 + -24x) = -12 Reorder the terms: 30 + 3x + -24x = -12 Combine like terms: 3x + -24x = -21x 30 + -21x = -12 Solving 30 + -21x = -12 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 + -21x = -12 + -30 Combine like terms: 30 + -30 = 0 0 + -21x = -12 + -30 -21x = -12 + -30 Combine like terms: -12 + -30 = -42 -21x = -42 Divide each side by '-21'. x = 2 Simplifying x = 2
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