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Simplifying 6(3x + -2) + 2(x + 3) = 0 Reorder the terms: 6(-2 + 3x) + 2(x + 3) = 0 (-2 * 6 + 3x * 6) + 2(x + 3) = 0 (-12 + 18x) + 2(x + 3) = 0 Reorder the terms: -12 + 18x + 2(3 + x) = 0 -12 + 18x + (3 * 2 + x * 2) = 0 -12 + 18x + (6 + 2x) = 0 Reorder the terms: -12 + 6 + 18x + 2x = 0 Combine like terms: -12 + 6 = -6 -6 + 18x + 2x = 0 Combine like terms: 18x + 2x = 20x -6 + 20x = 0 Solving -6 + 20x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 20x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 20x = 0 + 6 20x = 0 + 6 Combine like terms: 0 + 6 = 6 20x = 6 Divide each side by '20'. x = 0.3 Simplifying x = 0.3
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