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Simplifying 9(5x + 1) = 4x + -6x Reorder the terms: 9(1 + 5x) = 4x + -6x (1 * 9 + 5x * 9) = 4x + -6x (9 + 45x) = 4x + -6x Combine like terms: 4x + -6x = -2x 9 + 45x = -2x Solving 9 + 45x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 9 + 45x + 2x = -2x + 2x Combine like terms: 45x + 2x = 47x 9 + 47x = -2x + 2x Combine like terms: -2x + 2x = 0 9 + 47x = 0 Add '-9' to each side of the equation. 9 + -9 + 47x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 47x = 0 + -9 47x = 0 + -9 Combine like terms: 0 + -9 = -9 47x = -9 Divide each side by '47'. x = -0.1914893617 Simplifying x = -0.1914893617
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