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Simplifying 4ax + -8(x + b) = f(x) Reorder the terms: 4ax + -8(b + x) = f(x) 4ax + (b * -8 + x * -8) = f(x) 4ax + (-8b + -8x) = f(x) Multiply f * x 4ax + -8b + -8x = fx Solving 4ax + -8b + -8x = fx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8b' to each side of the equation. 4ax + -8b + 8b + -8x = 8b + fx Combine like terms: -8b + 8b = 0 4ax + 0 + -8x = 8b + fx 4ax + -8x = 8b + fx Add '8x' to each side of the equation. 4ax + -8x + 8x = 8b + fx + 8x Combine like terms: -8x + 8x = 0 4ax + 0 = 8b + fx + 8x 4ax = 8b + fx + 8x Divide each side by '4x'. a = 2bx-1 + 0.25f + 2 Simplifying a = 2bx-1 + 0.25f + 2 Reorder the terms: a = 2 + 2bx-1 + 0.25f
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