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Simplifying h(x) = (x + -13) + (-6x + 15 + -4x + -17) Multiply h * x hx = (x + -13) + (-6x + 15 + -4x + -17) Reorder the terms: hx = (-13 + x) + (-6x + 15 + -4x + -17) Remove parenthesis around (-13 + x) hx = -13 + x + (-6x + 15 + -4x + -17) Reorder the terms: hx = -13 + x + (15 + -17 + -6x + -4x) Combine like terms: 15 + -17 = -2 hx = -13 + x + (-2 + -6x + -4x) Combine like terms: -6x + -4x = -10x hx = -13 + x + (-2 + -10x) Remove parenthesis around (-2 + -10x) hx = -13 + x + -2 + -10x Reorder the terms: hx = -13 + -2 + x + -10x Combine like terms: -13 + -2 = -15 hx = -15 + x + -10x Combine like terms: x + -10x = -9x hx = -15 + -9x Solving hx = -15 + -9x Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Divide each side by 'x'. h = -15x-1 + -9 Simplifying h = -15x-1 + -9 Reorder the terms: h = -9 + -15x-1
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