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Simplifying 12(5x + 3) + 3(x + -2) = 0 Reorder the terms: 12(3 + 5x) + 3(x + -2) = 0 (3 * 12 + 5x * 12) + 3(x + -2) = 0 (36 + 60x) + 3(x + -2) = 0 Reorder the terms: 36 + 60x + 3(-2 + x) = 0 36 + 60x + (-2 * 3 + x * 3) = 0 36 + 60x + (-6 + 3x) = 0 Reorder the terms: 36 + -6 + 60x + 3x = 0 Combine like terms: 36 + -6 = 30 30 + 60x + 3x = 0 Combine like terms: 60x + 3x = 63x 30 + 63x = 0 Solving 30 + 63x = 0 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 + 63x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 63x = 0 + -30 63x = 0 + -30 Combine like terms: 0 + -30 = -30 63x = -30 Divide each side by '63'. x = -0.4761904762 Simplifying x = -0.4761904762
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