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Simplifying 3(3x + 4) + -5(7x + -3) = 0 Reorder the terms: 3(4 + 3x) + -5(7x + -3) = 0 (4 * 3 + 3x * 3) + -5(7x + -3) = 0 (12 + 9x) + -5(7x + -3) = 0 Reorder the terms: 12 + 9x + -5(-3 + 7x) = 0 12 + 9x + (-3 * -5 + 7x * -5) = 0 12 + 9x + (15 + -35x) = 0 Reorder the terms: 12 + 15 + 9x + -35x = 0 Combine like terms: 12 + 15 = 27 27 + 9x + -35x = 0 Combine like terms: 9x + -35x = -26x 27 + -26x = 0 Solving 27 + -26x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -26x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -26x = 0 + -27 -26x = 0 + -27 Combine like terms: 0 + -27 = -27 -26x = -27 Divide each side by '-26'. x = 1.038461538 Simplifying x = 1.038461538
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