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Simplifying 7(5x + 9) = 12(x + 9) Reorder the terms: 7(9 + 5x) = 12(x + 9) (9 * 7 + 5x * 7) = 12(x + 9) (63 + 35x) = 12(x + 9) Reorder the terms: 63 + 35x = 12(9 + x) 63 + 35x = (9 * 12 + x * 12) 63 + 35x = (108 + 12x) Solving 63 + 35x = 108 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 63 + 35x + -12x = 108 + 12x + -12x Combine like terms: 35x + -12x = 23x 63 + 23x = 108 + 12x + -12x Combine like terms: 12x + -12x = 0 63 + 23x = 108 + 0 63 + 23x = 108 Add '-63' to each side of the equation. 63 + -63 + 23x = 108 + -63 Combine like terms: 63 + -63 = 0 0 + 23x = 108 + -63 23x = 108 + -63 Combine like terms: 108 + -63 = 45 23x = 45 Divide each side by '23'. x = 1.956521739 Simplifying x = 1.956521739
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