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Simplifying 25(2x + -1) = 5(x + 4) + 3x Reorder the terms: 25(-1 + 2x) = 5(x + 4) + 3x (-1 * 25 + 2x * 25) = 5(x + 4) + 3x (-25 + 50x) = 5(x + 4) + 3x Reorder the terms: -25 + 50x = 5(4 + x) + 3x -25 + 50x = (4 * 5 + x * 5) + 3x -25 + 50x = (20 + 5x) + 3x Combine like terms: 5x + 3x = 8x -25 + 50x = 20 + 8x Solving -25 + 50x = 20 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -25 + 50x + -8x = 20 + 8x + -8x Combine like terms: 50x + -8x = 42x -25 + 42x = 20 + 8x + -8x Combine like terms: 8x + -8x = 0 -25 + 42x = 20 + 0 -25 + 42x = 20 Add '25' to each side of the equation. -25 + 25 + 42x = 20 + 25 Combine like terms: -25 + 25 = 0 0 + 42x = 20 + 25 42x = 20 + 25 Combine like terms: 20 + 25 = 45 42x = 45 Divide each side by '42'. x = 1.071428571 Simplifying x = 1.071428571
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