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Simplifying 9(5x + 8) = 9(6x + 3) Reorder the terms: 9(8 + 5x) = 9(6x + 3) (8 * 9 + 5x * 9) = 9(6x + 3) (72 + 45x) = 9(6x + 3) Reorder the terms: 72 + 45x = 9(3 + 6x) 72 + 45x = (3 * 9 + 6x * 9) 72 + 45x = (27 + 54x) Solving 72 + 45x = 27 + 54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54x' to each side of the equation. 72 + 45x + -54x = 27 + 54x + -54x Combine like terms: 45x + -54x = -9x 72 + -9x = 27 + 54x + -54x Combine like terms: 54x + -54x = 0 72 + -9x = 27 + 0 72 + -9x = 27 Add '-72' to each side of the equation. 72 + -72 + -9x = 27 + -72 Combine like terms: 72 + -72 = 0 0 + -9x = 27 + -72 -9x = 27 + -72 Combine like terms: 27 + -72 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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