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Simplifying 3(4x + 1) + 2(6x + -9) = 0 Reorder the terms: 3(1 + 4x) + 2(6x + -9) = 0 (1 * 3 + 4x * 3) + 2(6x + -9) = 0 (3 + 12x) + 2(6x + -9) = 0 Reorder the terms: 3 + 12x + 2(-9 + 6x) = 0 3 + 12x + (-9 * 2 + 6x * 2) = 0 3 + 12x + (-18 + 12x) = 0 Reorder the terms: 3 + -18 + 12x + 12x = 0 Combine like terms: 3 + -18 = -15 -15 + 12x + 12x = 0 Combine like terms: 12x + 12x = 24x -15 + 24x = 0 Solving -15 + 24x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 24x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 24x = 0 + 15 24x = 0 + 15 Combine like terms: 0 + 15 = 15 24x = 15 Divide each side by '24'. x = 0.625 Simplifying x = 0.625
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