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Simplifying 9(2x + 7) = 9(7x + 2) Reorder the terms: 9(7 + 2x) = 9(7x + 2) (7 * 9 + 2x * 9) = 9(7x + 2) (63 + 18x) = 9(7x + 2) Reorder the terms: 63 + 18x = 9(2 + 7x) 63 + 18x = (2 * 9 + 7x * 9) 63 + 18x = (18 + 63x) Solving 63 + 18x = 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. 63 + 18x + -63x = 18 + 63x + -63x Combine like terms: 18x + -63x = -45x 63 + -45x = 18 + 63x + -63x Combine like terms: 63x + -63x = 0 63 + -45x = 18 + 0 63 + -45x = 18 Add '-63' to each side of the equation. 63 + -63 + -45x = 18 + -63 Combine like terms: 63 + -63 = 0 0 + -45x = 18 + -63 -45x = 18 + -63 Combine like terms: 18 + -63 = -45 -45x = -45 Divide each side by '-45'. x = 1 Simplifying x = 1
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