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Simplifying 4(3x + 6) = -45 + 21 Reorder the terms: 4(6 + 3x) = -45 + 21 (6 * 4 + 3x * 4) = -45 + 21 (24 + 12x) = -45 + 21 Combine like terms: -45 + 21 = -24 24 + 12x = -24 Solving 24 + 12x = -24 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 = -24 + -24 Combine like terms: 24 + -24 = 0 0 + 12x = -24 + -24 12x = -24 + -24 Combine like terms: -24 + -24 = -48 12x = -48 Divide each side by '12'. x = -4 Simplifying x = -4
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