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Simplifying 9(5x + 6) = 9(7x + 5) Reorder the terms: 9(6 + 5x) = 9(7x + 5) (6 * 9 + 5x * 9) = 9(7x + 5) (54 + 45x) = 9(7x + 5) Reorder the terms: 54 + 45x = 9(5 + 7x) 54 + 45x = (5 * 9 + 7x * 9) 54 + 45x = (45 + 63x) Solving 54 + 45x = 45 + 63x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63x' to each side of the equation. 54 + 45x + -63x = 45 + 63x + -63x Combine like terms: 45x + -63x = -18x 54 + -18x = 45 + 63x + -63x Combine like terms: 63x + -63x = 0 54 + -18x = 45 + 0 54 + -18x = 45 Add '-54' to each side of the equation. 54 + -54 + -18x = 45 + -54 Combine like terms: 54 + -54 = 0 0 + -18x = 45 + -54 -18x = 45 + -54 Combine like terms: 45 + -54 = -9 -18x = -9 Divide each side by '-18'. x = 0.5 Simplifying x = 0.5
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