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Simplifying x(7y + 9) = (3y + 5)(7y + 9) Reorder the terms: x(9 + 7y) = (3y + 5)(7y + 9) (9 * x + 7y * x) = (3y + 5)(7y + 9) (9x + 7xy) = (3y + 5)(7y + 9) Reorder the terms: 9x + 7xy = (5 + 3y)(7y + 9) Reorder the terms: 9x + 7xy = (5 + 3y)(9 + 7y) Multiply (5 + 3y) * (9 + 7y) 9x + 7xy = (5(9 + 7y) + 3y * (9 + 7y)) 9x + 7xy = ((9 * 5 + 7y * 5) + 3y * (9 + 7y)) 9x + 7xy = ((45 + 35y) + 3y * (9 + 7y)) 9x + 7xy = (45 + 35y + (9 * 3y + 7y * 3y)) 9x + 7xy = (45 + 35y + (27y + 21y2)) Combine like terms: 35y + 27y = 62y 9x + 7xy = (45 + 62y + 21y2) Solving 9x + 7xy = 45 + 62y + 21y2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Reorder the terms: -45 + 9x + 7xy + -62y + -21y2 = 45 + 62y + 21y2 + -45 + -62y + -21y2 Reorder the terms: -45 + 9x + 7xy + -62y + -21y2 = 45 + -45 + 62y + -62y + 21y2 + -21y2 Combine like terms: 45 + -45 = 0 -45 + 9x + 7xy + -62y + -21y2 = 0 + 62y + -62y + 21y2 + -21y2 -45 + 9x + 7xy + -62y + -21y2 = 62y + -62y + 21y2 + -21y2 Combine like terms: 62y + -62y = 0 -45 + 9x + 7xy + -62y + -21y2 = 0 + 21y2 + -21y2 -45 + 9x + 7xy + -62y + -21y2 = 21y2 + -21y2 Combine like terms: 21y2 + -21y2 = 0 -45 + 9x + 7xy + -62y + -21y2 = 0 The solution to this equation could not be determined.
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