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Simplifying 9(6x + 1) + -4(5x + -2) = 0 Reorder the terms: 9(1 + 6x) + -4(5x + -2) = 0 (1 * 9 + 6x * 9) + -4(5x + -2) = 0 (9 + 54x) + -4(5x + -2) = 0 Reorder the terms: 9 + 54x + -4(-2 + 5x) = 0 9 + 54x + (-2 * -4 + 5x * -4) = 0 9 + 54x + (8 + -20x) = 0 Reorder the terms: 9 + 8 + 54x + -20x = 0 Combine like terms: 9 + 8 = 17 17 + 54x + -20x = 0 Combine like terms: 54x + -20x = 34x 17 + 34x = 0 Solving 17 + 34x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 34x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 34x = 0 + -17 34x = 0 + -17 Combine like terms: 0 + -17 = -17 34x = -17 Divide each side by '34'. x = -0.5 Simplifying x = -0.5
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