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Simplifying 5(7x + -6) + 12x = 0 Reorder the terms: 5(-6 + 7x) + 12x = 0 (-6 * 5 + 7x * 5) + 12x = 0 (-30 + 35x) + 12x = 0 Combine like terms: 35x + 12x = 47x -30 + 47x = 0 Solving -30 + 47x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 47x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 47x = 0 + 30 47x = 0 + 30 Combine like terms: 0 + 30 = 30 47x = 30 Divide each side by '47'. x = 0.6382978723 Simplifying x = 0.6382978723
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