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Simplifying 5(4x + 9) + -6x = -8 + 12 Reorder the terms: 5(9 + 4x) + -6x = -8 + 12 (9 * 5 + 4x * 5) + -6x = -8 + 12 (45 + 20x) + -6x = -8 + 12 Combine like terms: 20x + -6x = 14x 45 + 14x = -8 + 12 Combine like terms: -8 + 12 = 4 45 + 14x = 4 Solving 45 + 14x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 14x = 4 + -45 Combine like terms: 45 + -45 = 0 0 + 14x = 4 + -45 14x = 4 + -45 Combine like terms: 4 + -45 = -41 14x = -41 Divide each side by '14'. x = -2.928571429 Simplifying x = -2.928571429
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