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Simplifying 8(5x + 4) + 2(5x + 59) = 0 Reorder the terms: 8(4 + 5x) + 2(5x + 59) = 0 (4 * 8 + 5x * 8) + 2(5x + 59) = 0 (32 + 40x) + 2(5x + 59) = 0 Reorder the terms: 32 + 40x + 2(59 + 5x) = 0 32 + 40x + (59 * 2 + 5x * 2) = 0 32 + 40x + (118 + 10x) = 0 Reorder the terms: 32 + 118 + 40x + 10x = 0 Combine like terms: 32 + 118 = 150 150 + 40x + 10x = 0 Combine like terms: 40x + 10x = 50x 150 + 50x = 0 Solving 150 + 50x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-150' to each side of the equation. 150 + -150 + 50x = 0 + -150 Combine like terms: 150 + -150 = 0 0 + 50x = 0 + -150 50x = 0 + -150 Combine like terms: 0 + -150 = -150 50x = -150 Divide each side by '50'. x = -3 Simplifying x = -3
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