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Simplifying h(x) = (x + -4) * 5 + 3x(x + -4) Multiply h * x hx = (x + -4) * 5 + 3x(x + -4) Reorder the terms: hx = (-4 + x) * 5 + 3x(x + -4) Reorder the terms for easier multiplication: hx = 5(-4 + x) + 3x(x + -4) hx = (-4 * 5 + x * 5) + 3x(x + -4) hx = (-20 + 5x) + 3x(x + -4) Reorder the terms: hx = -20 + 5x + 3x(-4 + x) hx = -20 + 5x + (-4 * 3x + x * 3x) hx = -20 + 5x + (-12x + 3x2) Combine like terms: 5x + -12x = -7x hx = -20 + -7x + 3x2 Solving hx = -20 + -7x + 3x2 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Divide each side by 'x'. h = -20x-1 + -7 + 3x Simplifying h = -20x-1 + -7 + 3x Reorder the terms: h = -7 + -20x-1 + 3x
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