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Simplifying 5x + 7x(4a + b) + -1b = 0 5x + (4a * 7x + b * 7x) + -1b = 0 5x + (28ax + 7bx) + -1b = 0 Reorder the terms: 28ax + -1b + 7bx + 5x = 0 Solving 28ax + -1b + 7bx + 5x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. 28ax + -1b + 7bx + b + 5x = 0 + b Reorder the terms: 28ax + -1b + b + 7bx + 5x = 0 + b Combine like terms: -1b + b = 0 28ax + 0 + 7bx + 5x = 0 + b 28ax + 7bx + 5x = 0 + b Remove the zero: 28ax + 7bx + 5x = b Add '-7bx' to each side of the equation. 28ax + 7bx + -7bx + 5x = b + -7bx Combine like terms: 7bx + -7bx = 0 28ax + 0 + 5x = b + -7bx 28ax + 5x = b + -7bx Add '-5x' to each side of the equation. 28ax + 5x + -5x = b + -7bx + -5x Combine like terms: 5x + -5x = 0 28ax + 0 = b + -7bx + -5x 28ax = b + -7bx + -5x Divide each side by '28x'. a = 0.03571428571bx-1 + -0.25b + -0.1785714286 Simplifying a = 0.03571428571bx-1 + -0.25b + -0.1785714286 Reorder the terms: a = -0.1785714286 + -0.25b + 0.03571428571bx-1
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