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Simplifying 4(3x + 6) + 2(x + 12) = 0 Reorder the terms: 4(6 + 3x) + 2(x + 12) = 0 (6 * 4 + 3x * 4) + 2(x + 12) = 0 (24 + 12x) + 2(x + 12) = 0 Reorder the terms: 24 + 12x + 2(12 + x) = 0 24 + 12x + (12 * 2 + x * 2) = 0 24 + 12x + (24 + 2x) = 0 Reorder the terms: 24 + 24 + 12x + 2x = 0 Combine like terms: 24 + 24 = 48 48 + 12x + 2x = 0 Combine like terms: 12x + 2x = 14x 48 + 14x = 0 Solving 48 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 14x = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 14x = 0 + -48 14x = 0 + -48 Combine like terms: 0 + -48 = -48 14x = -48 Divide each side by '14'. x = -3.428571429 Simplifying x = -3.428571429
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