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Simplifying 5(4x + -2(x + -5(x + 4))) = 0 Reorder the terms: 5(4x + -2(x + -5(4 + x))) = 0 5(4x + -2(x + (4 * -5 + x * -5))) = 0 5(4x + -2(x + (-20 + -5x))) = 0 Reorder the terms: 5(4x + -2(-20 + x + -5x)) = 0 Combine like terms: x + -5x = -4x 5(4x + -2(-20 + -4x)) = 0 5(4x + (-20 * -2 + -4x * -2)) = 0 5(4x + (40 + 8x)) = 0 Reorder the terms: 5(40 + 4x + 8x) = 0 Combine like terms: 4x + 8x = 12x 5(40 + 12x) = 0 (40 * 5 + 12x * 5) = 0 (200 + 60x) = 0 Solving 200 + 60x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-200' to each side of the equation. 200 + -200 + 60x = 0 + -200 Combine like terms: 200 + -200 = 0 0 + 60x = 0 + -200 60x = 0 + -200 Combine like terms: 0 + -200 = -200 60x = -200 Divide each side by '60'. x = -3.333333333 Simplifying x = -3.333333333
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