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Simplifying (4 + 5)(8 + 6x) = 5 + -4.5(x + 5) Combine like terms: 4 + 5 = 9 (9)(8 + 6x) = 5 + -4.5(x + 5) (8 * 9 + 6x * 9) = 5 + -4.5(x + 5) (72 + 54x) = 5 + -4.5(x + 5) Reorder the terms: 72 + 54x = 5 + -4.5(5 + x) 72 + 54x = 5 + (5 * -4.5 + x * -4.5) 72 + 54x = 5 + (-22.5 + -4.5x) Combine like terms: 5 + -22.5 = -17.5 72 + 54x = -17.5 + -4.5x Solving 72 + 54x = -17.5 + -4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.5x' to each side of the equation. 72 + 54x + 4.5x = -17.5 + -4.5x + 4.5x Combine like terms: 54x + 4.5x = 58.5x 72 + 58.5x = -17.5 + -4.5x + 4.5x Combine like terms: -4.5x + 4.5x = 0.0 72 + 58.5x = -17.5 + 0.0 72 + 58.5x = -17.5 Add '-72' to each side of the equation. 72 + -72 + 58.5x = -17.5 + -72 Combine like terms: 72 + -72 = 0 0 + 58.5x = -17.5 + -72 58.5x = -17.5 + -72 Combine like terms: -17.5 + -72 = -89.5 58.5x = -89.5 Divide each side by '58.5'. x = -1.52991453 Simplifying x = -1.52991453
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