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Simplifying h(x) = x + -13 + -1(-6x + 15 + -4x + -17) Multiply h * x hx = x + -13 + -1(-6x + 15 + -4x + -17) Reorder the terms: hx = x + -13 + -1(15 + -17 + -6x + -4x) Combine like terms: 15 + -17 = -2 hx = x + -13 + -1(-2 + -6x + -4x) Combine like terms: -6x + -4x = -10x hx = x + -13 + -1(-2 + -10x) hx = x + -13 + (-2 * -1 + -10x * -1) hx = x + -13 + (2 + 10x) Reorder the terms: hx = -13 + 2 + x + 10x Combine like terms: -13 + 2 = -11 hx = -11 + x + 10x Combine like terms: x + 10x = 11x hx = -11 + 11x Solving hx = -11 + 11x Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Divide each side by 'x'. h = -11x-1 + 11 Simplifying h = -11x-1 + 11 Reorder the terms: h = 11 + -11x-1
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