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Simplifying 5a(x + 7y) + -1b(x + 7y) = 0 (x * 5a + 7y * 5a) + -1b(x + 7y) = 0 (5ax + 35ay) + -1b(x + 7y) = 0 5ax + 35ay + (x * -1b + 7y * -1b) = 0 5ax + 35ay + (-1bx + -7by) = 0 Solving 5ax + 35ay + -1bx + -7by = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'bx' to each side of the equation. 5ax + 35ay + -1bx + bx + -7by = 0 + bx Combine like terms: -1bx + bx = 0 5ax + 35ay + 0 + -7by = 0 + bx 5ax + 35ay + -7by = 0 + bx Remove the zero: 5ax + 35ay + -7by = bx Add '7by' to each side of the equation. 5ax + 35ay + -7by + 7by = bx + 7by Combine like terms: -7by + 7by = 0 5ax + 35ay + 0 = bx + 7by 5ax + 35ay = bx + 7by Reorder the terms: 5ax + 35ay + -1bx + -7by = bx + -1bx + 7by + -7by Combine like terms: bx + -1bx = 0 5ax + 35ay + -1bx + -7by = 0 + 7by + -7by 5ax + 35ay + -1bx + -7by = 7by + -7by Combine like terms: 7by + -7by = 0 5ax + 35ay + -1bx + -7by = 0 The solution to this equation could not be determined.
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