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Simplifying 5x + 9(5x + -6) = 8x + -19 Reorder the terms: 5x + 9(-6 + 5x) = 8x + -19 5x + (-6 * 9 + 5x * 9) = 8x + -19 5x + (-54 + 45x) = 8x + -19 Reorder the terms: -54 + 5x + 45x = 8x + -19 Combine like terms: 5x + 45x = 50x -54 + 50x = 8x + -19 Reorder the terms: -54 + 50x = -19 + 8x Solving -54 + 50x = -19 + 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. -54 + 50x + -8x = -19 + 8x + -8x Combine like terms: 50x + -8x = 42x -54 + 42x = -19 + 8x + -8x Combine like terms: 8x + -8x = 0 -54 + 42x = -19 + 0 -54 + 42x = -19 Add '54' to each side of the equation. -54 + 54 + 42x = -19 + 54 Combine like terms: -54 + 54 = 0 0 + 42x = -19 + 54 42x = -19 + 54 Combine like terms: -19 + 54 = 35 42x = 35 Divide each side by '42'. x = 0.8333333333 Simplifying x = 0.8333333333
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