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Simplifying 4(3x + 1) + 6(x + -3) = 0 Reorder the terms: 4(1 + 3x) + 6(x + -3) = 0 (1 * 4 + 3x * 4) + 6(x + -3) = 0 (4 + 12x) + 6(x + -3) = 0 Reorder the terms: 4 + 12x + 6(-3 + x) = 0 4 + 12x + (-3 * 6 + x * 6) = 0 4 + 12x + (-18 + 6x) = 0 Reorder the terms: 4 + -18 + 12x + 6x = 0 Combine like terms: 4 + -18 = -14 -14 + 12x + 6x = 0 Combine like terms: 12x + 6x = 18x -14 + 18x = 0 Solving -14 + 18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 18x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 18x = 0 + 14 18x = 0 + 14 Combine like terms: 0 + 14 = 14 18x = 14 Divide each side by '18'. x = 0.7777777778 Simplifying x = 0.7777777778
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