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Simplifying 5[8 + -1(4x + -9)] + 6x = 0 Reorder the terms: 5[8 + -1(-9 + 4x)] + 6x = 0 5[8 + (-9 * -1 + 4x * -1)] + 6x = 0 5[8 + (9 + -4x)] + 6x = 0 Combine like terms: 8 + 9 = 17 5[17 + -4x] + 6x = 0 [17 * 5 + -4x * 5] + 6x = 0 [85 + -20x] + 6x = 0 Combine like terms: -20x + 6x = -14x 85 + -14x = 0 Solving 85 + -14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-85' to each side of the equation. 85 + -85 + -14x = 0 + -85 Combine like terms: 85 + -85 = 0 0 + -14x = 0 + -85 -14x = 0 + -85 Combine like terms: 0 + -85 = -85 -14x = -85 Divide each side by '-14'. x = 6.071428571 Simplifying x = 6.071428571
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