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Simplifying 9(4x + 5) + -5x = -8x Reorder the terms: 9(5 + 4x) + -5x = -8x (5 * 9 + 4x * 9) + -5x = -8x (45 + 36x) + -5x = -8x Combine like terms: 36x + -5x = 31x 45 + 31x = -8x Solving 45 + 31x = -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. 45 + 31x + 8x = -8x + 8x Combine like terms: 31x + 8x = 39x 45 + 39x = -8x + 8x Combine like terms: -8x + 8x = 0 45 + 39x = 0 Add '-45' to each side of the equation. 45 + -45 + 39x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 39x = 0 + -45 39x = 0 + -45 Combine like terms: 0 + -45 = -45 39x = -45 Divide each side by '39'. x = -1.153846154 Simplifying x = -1.153846154
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