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Simplifying 3(5x + 4) + 5(x + -4) = 0 Reorder the terms: 3(4 + 5x) + 5(x + -4) = 0 (4 * 3 + 5x * 3) + 5(x + -4) = 0 (12 + 15x) + 5(x + -4) = 0 Reorder the terms: 12 + 15x + 5(-4 + x) = 0 12 + 15x + (-4 * 5 + x * 5) = 0 12 + 15x + (-20 + 5x) = 0 Reorder the terms: 12 + -20 + 15x + 5x = 0 Combine like terms: 12 + -20 = -8 -8 + 15x + 5x = 0 Combine like terms: 15x + 5x = 20x -8 + 20x = 0 Solving -8 + 20x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 20x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 20x = 0 + 8 20x = 0 + 8 Combine like terms: 0 + 8 = 8 20x = 8 Divide each side by '20'. x = 0.4 Simplifying x = 0.4
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