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Simplifying 5x + 9(5x + -4) = 8x + -30 Reorder the terms: 5x + 9(-4 + 5x) = 8x + -30 5x + (-4 * 9 + 5x * 9) = 8x + -30 5x + (-36 + 45x) = 8x + -30 Reorder the terms: -36 + 5x + 45x = 8x + -30 Combine like terms: 5x + 45x = 50x -36 + 50x = 8x + -30 Reorder the terms: -36 + 50x = -30 + 8x Solving -36 + 50x = -30 + 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. -36 + 50x + -8x = -30 + 8x + -8x Combine like terms: 50x + -8x = 42x -36 + 42x = -30 + 8x + -8x Combine like terms: 8x + -8x = 0 -36 + 42x = -30 + 0 -36 + 42x = -30 Add '36' to each side of the equation. -36 + 36 + 42x = -30 + 36 Combine like terms: -36 + 36 = 0 0 + 42x = -30 + 36 42x = -30 + 36 Combine like terms: -30 + 36 = 6 42x = 6 Divide each side by '42'. x = 0.1428571429 Simplifying x = 0.1428571429
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