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Simplifying 2(3x + -1) + 6(x + -3) = 0 Reorder the terms: 2(-1 + 3x) + 6(x + -3) = 0 (-1 * 2 + 3x * 2) + 6(x + -3) = 0 (-2 + 6x) + 6(x + -3) = 0 Reorder the terms: -2 + 6x + 6(-3 + x) = 0 -2 + 6x + (-3 * 6 + x * 6) = 0 -2 + 6x + (-18 + 6x) = 0 Reorder the terms: -2 + -18 + 6x + 6x = 0 Combine like terms: -2 + -18 = -20 -20 + 6x + 6x = 0 Combine like terms: 6x + 6x = 12x -20 + 12x = 0 Solving -20 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 12x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 12x = 0 + 20 12x = 0 + 20 Combine like terms: 0 + 20 = 20 12x = 20 Divide each side by '12'. x = 1.666666667 Simplifying x = 1.666666667
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