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Simplifying 10(8 + 2x) + -5(1 + 5x) = 0 (8 * 10 + 2x * 10) + -5(1 + 5x) = 0 (80 + 20x) + -5(1 + 5x) = 0 80 + 20x + (1 * -5 + 5x * -5) = 0 80 + 20x + (-5 + -25x) = 0 Reorder the terms: 80 + -5 + 20x + -25x = 0 Combine like terms: 80 + -5 = 75 75 + 20x + -25x = 0 Combine like terms: 20x + -25x = -5x 75 + -5x = 0 Solving 75 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + -75 + -5x = 0 + -75 Combine like terms: 75 + -75 = 0 0 + -5x = 0 + -75 -5x = 0 + -75 Combine like terms: 0 + -75 = -75 -5x = -75 Divide each side by '-5'. x = 15 Simplifying x = 15
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