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Simplifying 4(9x + 5) + 6(10 + -1x) = 0 Reorder the terms: 4(5 + 9x) + 6(10 + -1x) = 0 (5 * 4 + 9x * 4) + 6(10 + -1x) = 0 (20 + 36x) + 6(10 + -1x) = 0 20 + 36x + (10 * 6 + -1x * 6) = 0 20 + 36x + (60 + -6x) = 0 Reorder the terms: 20 + 60 + 36x + -6x = 0 Combine like terms: 20 + 60 = 80 80 + 36x + -6x = 0 Combine like terms: 36x + -6x = 30x 80 + 30x = 0 Solving 80 + 30x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + 30x = 0 + -80 Combine like terms: 80 + -80 = 0 0 + 30x = 0 + -80 30x = 0 + -80 Combine like terms: 0 + -80 = -80 30x = -80 Divide each side by '30'. x = -2.666666667 Simplifying x = -2.666666667
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