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Simplifying 1x + 7h + -1t = 5h + t Reorder the terms: 7h + -1t + 1x = 5h + t Solving 7h + -1t + 1x = 5h + t Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-5h' to each side of the equation. 7h + -1t + -5h + 1x = 5h + -5h + t Reorder the terms: 7h + -5h + -1t + 1x = 5h + -5h + t Combine like terms: 7h + -5h = 2h 2h + -1t + 1x = 5h + -5h + t Combine like terms: 5h + -5h = 0 2h + -1t + 1x = 0 + t 2h + -1t + 1x = t Add 't' to each side of the equation. 2h + -1t + t + 1x = t + t Combine like terms: -1t + t = 0 2h + 0 + 1x = t + t 2h + 1x = t + t Combine like terms: t + t = 2t 2h + 1x = 2t Add '-1x' to each side of the equation. 2h + 1x + -1x = 2t + -1x Combine like terms: 1x + -1x = 0 2h + 0 = 2t + -1x 2h = 2t + -1x Divide each side by '2'. h = t + -0.5x Simplifying h = t + -0.5x
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