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Simplifying 9(5x + 1) = 5x + -8x Reorder the terms: 9(1 + 5x) = 5x + -8x (1 * 9 + 5x * 9) = 5x + -8x (9 + 45x) = 5x + -8x Combine like terms: 5x + -8x = -3x 9 + 45x = -3x Solving 9 + 45x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 9 + 45x + 3x = -3x + 3x Combine like terms: 45x + 3x = 48x 9 + 48x = -3x + 3x Combine like terms: -3x + 3x = 0 9 + 48x = 0 Add '-9' to each side of the equation. 9 + -9 + 48x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 48x = 0 + -9 48x = 0 + -9 Combine like terms: 0 + -9 = -9 48x = -9 Divide each side by '48'. x = -0.1875 Simplifying x = -0.1875
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