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Simplifying 7(7x + 9) = 9(2x + 7) Reorder the terms: 7(9 + 7x) = 9(2x + 7) (9 * 7 + 7x * 7) = 9(2x + 7) (63 + 49x) = 9(2x + 7) Reorder the terms: 63 + 49x = 9(7 + 2x) 63 + 49x = (7 * 9 + 2x * 9) 63 + 49x = (63 + 18x) Add '-63' to each side of the equation. 63 + -63 + 49x = 63 + -63 + 18x Combine like terms: 63 + -63 = 0 0 + 49x = 63 + -63 + 18x 49x = 63 + -63 + 18x Combine like terms: 63 + -63 = 0 49x = 0 + 18x 49x = 18x Solving 49x = 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 49x + -18x = 18x + -18x Combine like terms: 49x + -18x = 31x 31x = 18x + -18x Combine like terms: 18x + -18x = 0 31x = 0 Divide each side by '31'. x = 0 Simplifying x = 0
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