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Simplifying -5x + 5(-4x + 10) = -75 Reorder the terms: -5x + 5(10 + -4x) = -75 -5x + (10 * 5 + -4x * 5) = -75 -5x + (50 + -20x) = -75 Reorder the terms: 50 + -5x + -20x = -75 Combine like terms: -5x + -20x = -25x 50 + -25x = -75 Solving 50 + -25x = -75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -25x = -75 + -50 Combine like terms: 50 + -50 = 0 0 + -25x = -75 + -50 -25x = -75 + -50 Combine like terms: -75 + -50 = -125 -25x = -125 Divide each side by '-25'. x = 5 Simplifying x = 5
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