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Simplifying 3(40x + -2(5x + 8) + 10(2 + -1x)) = 0 Reorder the terms: 3(40x + -2(8 + 5x) + 10(2 + -1x)) = 0 3(40x + (8 * -2 + 5x * -2) + 10(2 + -1x)) = 0 3(40x + (-16 + -10x) + 10(2 + -1x)) = 0 3(40x + -16 + -10x + (2 * 10 + -1x * 10)) = 0 3(40x + -16 + -10x + (20 + -10x)) = 0 Reorder the terms: 3(-16 + 20 + 40x + -10x + -10x) = 0 Combine like terms: -16 + 20 = 4 3(4 + 40x + -10x + -10x) = 0 Combine like terms: 40x + -10x = 30x 3(4 + 30x + -10x) = 0 Combine like terms: 30x + -10x = 20x 3(4 + 20x) = 0 (4 * 3 + 20x * 3) = 0 (12 + 60x) = 0 Solving 12 + 60x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 60x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 60x = 0 + -12 60x = 0 + -12 Combine like terms: 0 + -12 = -12 60x = -12 Divide each side by '60'. x = -0.2 Simplifying x = -0.2
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