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Simplifying 4(5x + 1) = 5(5x + -1) Reorder the terms: 4(1 + 5x) = 5(5x + -1) (1 * 4 + 5x * 4) = 5(5x + -1) (4 + 20x) = 5(5x + -1) Reorder the terms: 4 + 20x = 5(-1 + 5x) 4 + 20x = (-1 * 5 + 5x * 5) 4 + 20x = (-5 + 25x) Solving 4 + 20x = -5 + 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. 4 + 20x + -25x = -5 + 25x + -25x Combine like terms: 20x + -25x = -5x 4 + -5x = -5 + 25x + -25x Combine like terms: 25x + -25x = 0 4 + -5x = -5 + 0 4 + -5x = -5 Add '-4' to each side of the equation. 4 + -4 + -5x = -5 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = -5 + -4 -5x = -5 + -4 Combine like terms: -5 + -4 = -9 -5x = -9 Divide each side by '-5'. x = 1.8 Simplifying x = 1.8
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