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Simplifying 4(3x + 5) + 7(11x + -9) = 0 Reorder the terms: 4(5 + 3x) + 7(11x + -9) = 0 (5 * 4 + 3x * 4) + 7(11x + -9) = 0 (20 + 12x) + 7(11x + -9) = 0 Reorder the terms: 20 + 12x + 7(-9 + 11x) = 0 20 + 12x + (-9 * 7 + 11x * 7) = 0 20 + 12x + (-63 + 77x) = 0 Reorder the terms: 20 + -63 + 12x + 77x = 0 Combine like terms: 20 + -63 = -43 -43 + 12x + 77x = 0 Combine like terms: 12x + 77x = 89x -43 + 89x = 0 Solving -43 + 89x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + 89x = 0 + 43 Combine like terms: -43 + 43 = 0 0 + 89x = 0 + 43 89x = 0 + 43 Combine like terms: 0 + 43 = 43 89x = 43 Divide each side by '89'. x = 0.4831460674 Simplifying x = 0.4831460674
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