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Simplifying 3(4x + 1) + 6(x + -3) = 0 Reorder the terms: 3(1 + 4x) + 6(x + -3) = 0 (1 * 3 + 4x * 3) + 6(x + -3) = 0 (3 + 12x) + 6(x + -3) = 0 Reorder the terms: 3 + 12x + 6(-3 + x) = 0 3 + 12x + (-3 * 6 + x * 6) = 0 3 + 12x + (-18 + 6x) = 0 Reorder the terms: 3 + -18 + 12x + 6x = 0 Combine like terms: 3 + -18 = -15 -15 + 12x + 6x = 0 Combine like terms: 12x + 6x = 18x -15 + 18x = 0 Solving -15 + 18x = 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 + 18x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 18x = 0 + 15 18x = 0 + 15 Combine like terms: 0 + 15 = 15 18x = 15 Divide each side by '18'. x = 0.8333333333 Simplifying x = 0.8333333333
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