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Simplifying h(x) = (0.33 + -1x + -13) + -1(-6x + 15) Multiply h * x hx = (0.33 + -1x + -13) + -1(-6x + 15) Reorder the terms: hx = (0.33 + -13 + -1x) + -1(-6x + 15) Combine like terms: 0.33 + -13 = -12.67 hx = (-12.67 + -1x) + -1(-6x + 15) Remove parenthesis around (-12.67 + -1x) hx = -12.67 + -1x + -1(-6x + 15) Reorder the terms: hx = -12.67 + -1x + -1(15 + -6x) hx = -12.67 + -1x + (15 * -1 + -6x * -1) hx = -12.67 + -1x + (-15 + 6x) Reorder the terms: hx = -12.67 + -15 + -1x + 6x Combine like terms: -12.67 + -15 = -27.67 hx = -27.67 + -1x + 6x Combine like terms: -1x + 6x = 5x hx = -27.67 + 5x Solving hx = -27.67 + 5x Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Divide each side by 'x'. h = -27.67x-1 + 5 Simplifying h = -27.67x-1 + 5 Reorder the terms: h = 5 + -27.67x-1
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