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Simplifying -4(2x + -9) + 5(3x + 2) = 0 Reorder the terms: -4(-9 + 2x) + 5(3x + 2) = 0 (-9 * -4 + 2x * -4) + 5(3x + 2) = 0 (36 + -8x) + 5(3x + 2) = 0 Reorder the terms: 36 + -8x + 5(2 + 3x) = 0 36 + -8x + (2 * 5 + 3x * 5) = 0 36 + -8x + (10 + 15x) = 0 Reorder the terms: 36 + 10 + -8x + 15x = 0 Combine like terms: 36 + 10 = 46 46 + -8x + 15x = 0 Combine like terms: -8x + 15x = 7x 46 + 7x = 0 Solving 46 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + 7x = 0 + -46 Combine like terms: 46 + -46 = 0 0 + 7x = 0 + -46 7x = 0 + -46 Combine like terms: 0 + -46 = -46 7x = -46 Divide each side by '7'. x = -6.571428571 Simplifying x = -6.571428571
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