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Simplifying (4h + -5) + -1(2h + 9) = x Reorder the terms: (-5 + 4h) + -1(2h + 9) = x Remove parenthesis around (-5 + 4h) -5 + 4h + -1(2h + 9) = x Reorder the terms: -5 + 4h + -1(9 + 2h) = x -5 + 4h + (9 * -1 + 2h * -1) = x -5 + 4h + (-9 + -2h) = x Reorder the terms: -5 + -9 + 4h + -2h = x Combine like terms: -5 + -9 = -14 -14 + 4h + -2h = x Combine like terms: 4h + -2h = 2h -14 + 2h = x Solving -14 + 2h = x Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 2h = 14 + x Combine like terms: -14 + 14 = 0 0 + 2h = 14 + x 2h = 14 + x Divide each side by '2'. h = 7 + 0.5x Simplifying h = 7 + 0.5x
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