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Simplifying 6(8x + 9) + 10(7x + -9) = 0 Reorder the terms: 6(9 + 8x) + 10(7x + -9) = 0 (9 * 6 + 8x * 6) + 10(7x + -9) = 0 (54 + 48x) + 10(7x + -9) = 0 Reorder the terms: 54 + 48x + 10(-9 + 7x) = 0 54 + 48x + (-9 * 10 + 7x * 10) = 0 54 + 48x + (-90 + 70x) = 0 Reorder the terms: 54 + -90 + 48x + 70x = 0 Combine like terms: 54 + -90 = -36 -36 + 48x + 70x = 0 Combine like terms: 48x + 70x = 118x -36 + 118x = 0 Solving -36 + 118x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 118x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 118x = 0 + 36 118x = 0 + 36 Combine like terms: 0 + 36 = 36 118x = 36 Divide each side by '118'. x = 0.3050847458 Simplifying x = 0.3050847458
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