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Simplifying 5(x + 4) = 125(1 + -1x) Reorder the terms: 5(4 + x) = 125(1 + -1x) (4 * 5 + x * 5) = 125(1 + -1x) (20 + 5x) = 125(1 + -1x) 20 + 5x = (1 * 125 + -1x * 125) 20 + 5x = (125 + -125x) Solving 20 + 5x = 125 + -125x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '125x' to each side of the equation. 20 + 5x + 125x = 125 + -125x + 125x Combine like terms: 5x + 125x = 130x 20 + 130x = 125 + -125x + 125x Combine like terms: -125x + 125x = 0 20 + 130x = 125 + 0 20 + 130x = 125 Add '-20' to each side of the equation. 20 + -20 + 130x = 125 + -20 Combine like terms: 20 + -20 = 0 0 + 130x = 125 + -20 130x = 125 + -20 Combine like terms: 125 + -20 = 105 130x = 105 Divide each side by '130'. x = 0.8076923077 Simplifying x = 0.8076923077
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