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Simplifying h(x) = (2x + 17) + -1(-5x + -10) Multiply h * x hx = (2x + 17) + -1(-5x + -10) Reorder the terms: hx = (17 + 2x) + -1(-5x + -10) Remove parenthesis around (17 + 2x) hx = 17 + 2x + -1(-5x + -10) Reorder the terms: hx = 17 + 2x + -1(-10 + -5x) hx = 17 + 2x + (-10 * -1 + -5x * -1) hx = 17 + 2x + (10 + 5x) Reorder the terms: hx = 17 + 10 + 2x + 5x Combine like terms: 17 + 10 = 27 hx = 27 + 2x + 5x Combine like terms: 2x + 5x = 7x hx = 27 + 7x Solving hx = 27 + 7x Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Divide each side by 'x'. h = 27x-1 + 7 Simplifying h = 27x-1 + 7 Reorder the terms: h = 7 + 27x-1
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