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Simplifying 7(h + 2m) + 2(x + h) + 3h + m + -1(h + x) = 0 (h * 7 + 2m * 7) + 2(x + h) + 3h + m + -1(h + x) = 0 (7h + 14m) + 2(x + h) + 3h + m + -1(h + x) = 0 Reorder the terms: 7h + 14m + 2(h + x) + 3h + m + -1(h + x) = 0 7h + 14m + (h * 2 + x * 2) + 3h + m + -1(h + x) = 0 7h + 14m + (2h + 2x) + 3h + m + -1(h + x) = 0 7h + 14m + 2h + 2x + 3h + m + (h * -1 + x * -1) = 0 7h + 14m + 2h + 2x + 3h + m + (-1h + -1x) = 0 Reorder the terms: 7h + 2h + 3h + -1h + 14m + m + 2x + -1x = 0 Combine like terms: 7h + 2h = 9h 9h + 3h + -1h + 14m + m + 2x + -1x = 0 Combine like terms: 9h + 3h = 12h 12h + -1h + 14m + m + 2x + -1x = 0 Combine like terms: 12h + -1h = 11h 11h + 14m + m + 2x + -1x = 0 Combine like terms: 14m + m = 15m 11h + 15m + 2x + -1x = 0 Combine like terms: 2x + -1x = 1x 11h + 15m + 1x = 0 Solving 11h + 15m + 1x = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-15m' to each side of the equation. 11h + 15m + -15m + 1x = 0 + -15m Combine like terms: 15m + -15m = 0 11h + 0 + 1x = 0 + -15m 11h + 1x = 0 + -15m Remove the zero: 11h + 1x = -15m Add '-1x' to each side of the equation. 11h + 1x + -1x = -15m + -1x Combine like terms: 1x + -1x = 0 11h + 0 = -15m + -1x 11h = -15m + -1x Divide each side by '11'. h = -1.363636364m + -0.09090909091x Simplifying h = -1.363636364m + -0.09090909091x
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