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Simplifying 5(10x + -8) + 3(12x + 6) = 0 Reorder the terms: 5(-8 + 10x) + 3(12x + 6) = 0 (-8 * 5 + 10x * 5) + 3(12x + 6) = 0 (-40 + 50x) + 3(12x + 6) = 0 Reorder the terms: -40 + 50x + 3(6 + 12x) = 0 -40 + 50x + (6 * 3 + 12x * 3) = 0 -40 + 50x + (18 + 36x) = 0 Reorder the terms: -40 + 18 + 50x + 36x = 0 Combine like terms: -40 + 18 = -22 -22 + 50x + 36x = 0 Combine like terms: 50x + 36x = 86x -22 + 86x = 0 Solving -22 + 86x = 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 + 86x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 86x = 0 + 22 86x = 0 + 22 Combine like terms: 0 + 22 = 22 86x = 22 Divide each side by '86'. x = 0.2558139535 Simplifying x = 0.2558139535
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