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Simplifying 7(5x + 9) = 18(x + 9) Reorder the terms: 7(9 + 5x) = 18(x + 9) (9 * 7 + 5x * 7) = 18(x + 9) (63 + 35x) = 18(x + 9) Reorder the terms: 63 + 35x = 18(9 + x) 63 + 35x = (9 * 18 + x * 18) 63 + 35x = (162 + 18x) Solving 63 + 35x = 162 + 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. 63 + 35x + -18x = 162 + 18x + -18x Combine like terms: 35x + -18x = 17x 63 + 17x = 162 + 18x + -18x Combine like terms: 18x + -18x = 0 63 + 17x = 162 + 0 63 + 17x = 162 Add '-63' to each side of the equation. 63 + -63 + 17x = 162 + -63 Combine like terms: 63 + -63 = 0 0 + 17x = 162 + -63 17x = 162 + -63 Combine like terms: 162 + -63 = 99 17x = 99 Divide each side by '17'. x = 5.823529412 Simplifying x = 5.823529412
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