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Simplifying g(x + a) + -1g(x) = 5x2 + -4x Reorder the terms: g(a + x) + -1g(x) = 5x2 + -4x (a * g + x * g) + -1g(x) = 5x2 + -4x (ag + gx) + -1g(x) = 5x2 + -4x Multiply g * x ag + gx + -1gx = 5x2 + -4x Combine like terms: gx + -1gx = 0 ag + 0 = 5x2 + -4x ag = 5x2 + -4x Reorder the terms: ag = -4x + 5x2 Solving ag = -4x + 5x2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Divide each side by 'g'. a = -4g-1x + 5g-1x2 Simplifying a = -4g-1x + 5g-1x2
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