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Simplifying 5(1 + -1x) = 20(x + -10) (1 * 5 + -1x * 5) = 20(x + -10) (5 + -5x) = 20(x + -10) Reorder the terms: 5 + -5x = 20(-10 + x) 5 + -5x = (-10 * 20 + x * 20) 5 + -5x = (-200 + 20x) Solving 5 + -5x = -200 + 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. 5 + -5x + -20x = -200 + 20x + -20x Combine like terms: -5x + -20x = -25x 5 + -25x = -200 + 20x + -20x Combine like terms: 20x + -20x = 0 5 + -25x = -200 + 0 5 + -25x = -200 Add '-5' to each side of the equation. 5 + -5 + -25x = -200 + -5 Combine like terms: 5 + -5 = 0 0 + -25x = -200 + -5 -25x = -200 + -5 Combine like terms: -200 + -5 = -205 -25x = -205 Divide each side by '-25'. x = 8.2 Simplifying x = 8.2
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