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Simplifying 9(5x + 7) = 9(6x + 2) Reorder the terms: 9(7 + 5x) = 9(6x + 2) (7 * 9 + 5x * 9) = 9(6x + 2) (63 + 45x) = 9(6x + 2) Reorder the terms: 63 + 45x = 9(2 + 6x) 63 + 45x = (2 * 9 + 6x * 9) 63 + 45x = (18 + 54x) Solving 63 + 45x = 18 + 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. 63 + 45x + -54x = 18 + 54x + -54x Combine like terms: 45x + -54x = -9x 63 + -9x = 18 + 54x + -54x Combine like terms: 54x + -54x = 0 63 + -9x = 18 + 0 63 + -9x = 18 Add '-63' to each side of the equation. 63 + -63 + -9x = 18 + -63 Combine like terms: 63 + -63 = 0 0 + -9x = 18 + -63 -9x = 18 + -63 Combine like terms: 18 + -63 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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