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Simplifying 3(4x + -5) + -1(6x + 5) = 0 Reorder the terms: 3(-5 + 4x) + -1(6x + 5) = 0 (-5 * 3 + 4x * 3) + -1(6x + 5) = 0 (-15 + 12x) + -1(6x + 5) = 0 Reorder the terms: -15 + 12x + -1(5 + 6x) = 0 -15 + 12x + (5 * -1 + 6x * -1) = 0 -15 + 12x + (-5 + -6x) = 0 Reorder the terms: -15 + -5 + 12x + -6x = 0 Combine like terms: -15 + -5 = -20 -20 + 12x + -6x = 0 Combine like terms: 12x + -6x = 6x -20 + 6x = 0 Solving -20 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 6x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 6x = 0 + 20 6x = 0 + 20 Combine like terms: 0 + 20 = 20 6x = 20 Divide each side by '6'. x = 3.333333333 Simplifying x = 3.333333333
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