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Simplifying v(x) = (30 + -2x)(40 + -2x) Multiply v * x vx = (30 + -2x)(40 + -2x) Multiply (30 + -2x) * (40 + -2x) vx = (30(40 + -2x) + -2x * (40 + -2x)) vx = ((40 * 30 + -2x * 30) + -2x * (40 + -2x)) vx = ((1200 + -60x) + -2x * (40 + -2x)) vx = (1200 + -60x + (40 * -2x + -2x * -2x)) vx = (1200 + -60x + (-80x + 4x2)) Combine like terms: -60x + -80x = -140x vx = (1200 + -140x + 4x2) Solving vx = 1200 + -140x + 4x2 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Divide each side by 'x'. v = 1200x-1 + -140 + 4x Simplifying v = 1200x-1 + -140 + 4x Reorder the terms: v = -140 + 1200x-1 + 4x
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