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Simplifying 4(6x + 5) + -3(x + -5) = 0 Reorder the terms: 4(5 + 6x) + -3(x + -5) = 0 (5 * 4 + 6x * 4) + -3(x + -5) = 0 (20 + 24x) + -3(x + -5) = 0 Reorder the terms: 20 + 24x + -3(-5 + x) = 0 20 + 24x + (-5 * -3 + x * -3) = 0 20 + 24x + (15 + -3x) = 0 Reorder the terms: 20 + 15 + 24x + -3x = 0 Combine like terms: 20 + 15 = 35 35 + 24x + -3x = 0 Combine like terms: 24x + -3x = 21x 35 + 21x = 0 Solving 35 + 21x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 21x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 21x = 0 + -35 21x = 0 + -35 Combine like terms: 0 + -35 = -35 21x = -35 Divide each side by '21'. x = -1.666666667 Simplifying x = -1.666666667
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