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Simplifying h(x) = (2x + 9) + (8x + -3) Multiply h * x hx = (2x + 9) + (8x + -3) Reorder the terms: hx = (9 + 2x) + (8x + -3) Remove parenthesis around (9 + 2x) hx = 9 + 2x + (8x + -3) Reorder the terms: hx = 9 + 2x + (-3 + 8x) Remove parenthesis around (-3 + 8x) hx = 9 + 2x + -3 + 8x Reorder the terms: hx = 9 + -3 + 2x + 8x Combine like terms: 9 + -3 = 6 hx = 6 + 2x + 8x Combine like terms: 2x + 8x = 10x hx = 6 + 10x Solving hx = 6 + 10x Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Divide each side by 'x'. h = 6x-1 + 10 Simplifying h = 6x-1 + 10 Reorder the terms: h = 10 + 6x-1
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