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Simplifying 5x(7a + b) + -2y(7a + b) = 0 (7a * 5x + b * 5x) + -2y(7a + b) = 0 (35ax + 5bx) + -2y(7a + b) = 0 35ax + 5bx + (7a * -2y + b * -2y) = 0 35ax + 5bx + (-14ay + -2by) = 0 Reorder the terms: 35ax + -14ay + 5bx + -2by = 0 Solving 35ax + -14ay + 5bx + -2by = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5bx' to each side of the equation. 35ax + -14ay + 5bx + -5bx + -2by = 0 + -5bx Combine like terms: 5bx + -5bx = 0 35ax + -14ay + 0 + -2by = 0 + -5bx 35ax + -14ay + -2by = 0 + -5bx Remove the zero: 35ax + -14ay + -2by = -5bx Add '2by' to each side of the equation. 35ax + -14ay + -2by + 2by = -5bx + 2by Combine like terms: -2by + 2by = 0 35ax + -14ay + 0 = -5bx + 2by 35ax + -14ay = -5bx + 2by Reorder the terms: 35ax + -14ay + 5bx + -2by = -5bx + 5bx + 2by + -2by Combine like terms: -5bx + 5bx = 0 35ax + -14ay + 5bx + -2by = 0 + 2by + -2by 35ax + -14ay + 5bx + -2by = 2by + -2by Combine like terms: 2by + -2by = 0 35ax + -14ay + 5bx + -2by = 0 The solution to this equation could not be determined.
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