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Simplifying h(x) = (4x + 10) + -1(-2x + 8) Multiply h * x hx = (4x + 10) + -1(-2x + 8) Reorder the terms: hx = (10 + 4x) + -1(-2x + 8) Remove parenthesis around (10 + 4x) hx = 10 + 4x + -1(-2x + 8) Reorder the terms: hx = 10 + 4x + -1(8 + -2x) hx = 10 + 4x + (8 * -1 + -2x * -1) hx = 10 + 4x + (-8 + 2x) Reorder the terms: hx = 10 + -8 + 4x + 2x Combine like terms: 10 + -8 = 2 hx = 2 + 4x + 2x Combine like terms: 4x + 2x = 6x hx = 2 + 6x Solving hx = 2 + 6x Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Divide each side by 'x'. h = 2x-1 + 6 Simplifying h = 2x-1 + 6 Reorder the terms: h = 6 + 2x-1
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