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Simplifying 4(5x + 3) + -6(7x + -8) = 0 Reorder the terms: 4(3 + 5x) + -6(7x + -8) = 0 (3 * 4 + 5x * 4) + -6(7x + -8) = 0 (12 + 20x) + -6(7x + -8) = 0 Reorder the terms: 12 + 20x + -6(-8 + 7x) = 0 12 + 20x + (-8 * -6 + 7x * -6) = 0 12 + 20x + (48 + -42x) = 0 Reorder the terms: 12 + 48 + 20x + -42x = 0 Combine like terms: 12 + 48 = 60 60 + 20x + -42x = 0 Combine like terms: 20x + -42x = -22x 60 + -22x = 0 Solving 60 + -22x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -22x = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -22x = 0 + -60 -22x = 0 + -60 Combine like terms: 0 + -60 = -60 -22x = -60 Divide each side by '-22'. x = 2.727272727 Simplifying x = 2.727272727
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