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Simplifying 9(5x + 8) = 9(7x + 2) Reorder the terms: 9(8 + 5x) = 9(7x + 2) (8 * 9 + 5x * 9) = 9(7x + 2) (72 + 45x) = 9(7x + 2) Reorder the terms: 72 + 45x = 9(2 + 7x) 72 + 45x = (2 * 9 + 7x * 9) 72 + 45x = (18 + 63x) Solving 72 + 45x = 18 + 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. 72 + 45x + -63x = 18 + 63x + -63x Combine like terms: 45x + -63x = -18x 72 + -18x = 18 + 63x + -63x Combine like terms: 63x + -63x = 0 72 + -18x = 18 + 0 72 + -18x = 18 Add '-72' to each side of the equation. 72 + -72 + -18x = 18 + -72 Combine like terms: 72 + -72 = 0 0 + -18x = 18 + -72 -18x = 18 + -72 Combine like terms: 18 + -72 = -54 -18x = -54 Divide each side by '-18'. x = 3 Simplifying x = 3
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