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Simplifying 4(5x + -6) + -4(2x + -1) = 0 Reorder the terms: 4(-6 + 5x) + -4(2x + -1) = 0 (-6 * 4 + 5x * 4) + -4(2x + -1) = 0 (-24 + 20x) + -4(2x + -1) = 0 Reorder the terms: -24 + 20x + -4(-1 + 2x) = 0 -24 + 20x + (-1 * -4 + 2x * -4) = 0 -24 + 20x + (4 + -8x) = 0 Reorder the terms: -24 + 4 + 20x + -8x = 0 Combine like terms: -24 + 4 = -20 -20 + 20x + -8x = 0 Combine like terms: 20x + -8x = 12x -20 + 12x = 0 Solving -20 + 12x = 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 + 12x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 12x = 0 + 20 12x = 0 + 20 Combine like terms: 0 + 20 = 20 12x = 20 Divide each side by '12'. x = 1.666666667 Simplifying x = 1.666666667
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