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Simplifying 6(3x + -1) + 2(4x + -8) = 0 Reorder the terms: 6(-1 + 3x) + 2(4x + -8) = 0 (-1 * 6 + 3x * 6) + 2(4x + -8) = 0 (-6 + 18x) + 2(4x + -8) = 0 Reorder the terms: -6 + 18x + 2(-8 + 4x) = 0 -6 + 18x + (-8 * 2 + 4x * 2) = 0 -6 + 18x + (-16 + 8x) = 0 Reorder the terms: -6 + -16 + 18x + 8x = 0 Combine like terms: -6 + -16 = -22 -22 + 18x + 8x = 0 Combine like terms: 18x + 8x = 26x -22 + 26x = 0 Solving -22 + 26x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 26x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 26x = 0 + 22 26x = 0 + 22 Combine like terms: 0 + 22 = 22 26x = 22 Divide each side by '26'. x = 0.8461538462 Simplifying x = 0.8461538462
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