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Simplifying 4(5x + 9) = 6x + 8 Reorder the terms: 4(9 + 5x) = 6x + 8 (9 * 4 + 5x * 4) = 6x + 8 (36 + 20x) = 6x + 8 Reorder the terms: 36 + 20x = 8 + 6x Solving 36 + 20x = 8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 36 + 20x + -6x = 8 + 6x + -6x Combine like terms: 20x + -6x = 14x 36 + 14x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 36 + 14x = 8 + 0 36 + 14x = 8 Add '-36' to each side of the equation. 36 + -36 + 14x = 8 + -36 Combine like terms: 36 + -36 = 0 0 + 14x = 8 + -36 14x = 8 + -36 Combine like terms: 8 + -36 = -28 14x = -28 Divide each side by '14'. x = -2 Simplifying x = -2
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