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