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Simplifying 5(1 + 4x) = 5 + -5(1 + 5x) (1 * 5 + 4x * 5) = 5 + -5(1 + 5x) (5 + 20x) = 5 + -5(1 + 5x) 5 + 20x = 5 + (1 * -5 + 5x * -5) 5 + 20x = 5 + (-5 + -25x) Combine like terms: 5 + -5 = 0 5 + 20x = 0 + -25x 5 + 20x = -25x Solving 5 + 20x = -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. 5 + 20x + 25x = -25x + 25x Combine like terms: 20x + 25x = 45x 5 + 45x = -25x + 25x Combine like terms: -25x + 25x = 0 5 + 45x = 0 Add '-5' to each side of the equation. 5 + -5 + 45x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 45x = 0 + -5 45x = 0 + -5 Combine like terms: 0 + -5 = -5 45x = -5 Divide each side by '45'. x = -0.1111111111 Simplifying x = -0.1111111111
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