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Simplifying h(x) = (3x + 9) + (-2x + 5) Multiply h * x hx = (3x + 9) + (-2x + 5) Reorder the terms: hx = (9 + 3x) + (-2x + 5) Remove parenthesis around (9 + 3x) hx = 9 + 3x + (-2x + 5) Reorder the terms: hx = 9 + 3x + (5 + -2x) Remove parenthesis around (5 + -2x) hx = 9 + 3x + 5 + -2x Reorder the terms: hx = 9 + 5 + 3x + -2x Combine like terms: 9 + 5 = 14 hx = 14 + 3x + -2x Combine like terms: 3x + -2x = 1x hx = 14 + 1x Solving hx = 14 + 1x Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Divide each side by 'x'. h = 14x-1 + 1 Simplifying h = 14x-1 + 1 Reorder the terms: h = 1 + 14x-1
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