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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 = -28 -28 + 20x + -8x = 0 Combine like terms: 20x + -8x = 12x -28 + 12x = 0 Solving -28 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 12x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 12x = 0 + 28 12x = 0 + 28 Combine like terms: 0 + 28 = 28 12x = 28 Divide each side by '12'. x = 2.333333333 Simplifying x = 2.333333333
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