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Simplifying 25x + 30 = 5(4x + 1) Reorder the terms: 30 + 25x = 5(4x + 1) Reorder the terms: 30 + 25x = 5(1 + 4x) 30 + 25x = (1 * 5 + 4x * 5) 30 + 25x = (5 + 20x) Solving 30 + 25x = 5 + 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. 30 + 25x + -20x = 5 + 20x + -20x Combine like terms: 25x + -20x = 5x 30 + 5x = 5 + 20x + -20x Combine like terms: 20x + -20x = 0 30 + 5x = 5 + 0 30 + 5x = 5 Add '-30' to each side of the equation. 30 + -30 + 5x = 5 + -30 Combine like terms: 30 + -30 = 0 0 + 5x = 5 + -30 5x = 5 + -30 Combine like terms: 5 + -30 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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