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Simplifying 5(x + 5) = -20(x + 4) Reorder the terms: 5(5 + x) = -20(x + 4) (5 * 5 + x * 5) = -20(x + 4) (25 + 5x) = -20(x + 4) Reorder the terms: 25 + 5x = -20(4 + x) 25 + 5x = (4 * -20 + x * -20) 25 + 5x = (-80 + -20x) Solving 25 + 5x = -80 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 25 + 5x + 20x = -80 + -20x + 20x Combine like terms: 5x + 20x = 25x 25 + 25x = -80 + -20x + 20x Combine like terms: -20x + 20x = 0 25 + 25x = -80 + 0 25 + 25x = -80 Add '-25' to each side of the equation. 25 + -25 + 25x = -80 + -25 Combine like terms: 25 + -25 = 0 0 + 25x = -80 + -25 25x = -80 + -25 Combine like terms: -80 + -25 = -105 25x = -105 Divide each side by '25'. x = -4.2 Simplifying x = -4.2
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