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Simplifying 5(X + -1) + 8T = 7T + -4 Reorder the terms: 5(-1 + X) + 8T = 7T + -4 (-1 * 5 + X * 5) + 8T = 7T + -4 (-5 + 5X) + 8T = 7T + -4 Reorder the terms: -5 + 8T + 5X = 7T + -4 Reorder the terms: -5 + 8T + 5X = -4 + 7T Solving -5 + 8T + 5X = -4 + 7T Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-7T' to each side of the equation. -5 + 8T + -7T + 5X = -4 + 7T + -7T Combine like terms: 8T + -7T = 1T -5 + 1T + 5X = -4 + 7T + -7T Combine like terms: 7T + -7T = 0 -5 + 1T + 5X = -4 + 0 -5 + 1T + 5X = -4 Add '5' to each side of the equation. -5 + 1T + 5 + 5X = -4 + 5 Reorder the terms: -5 + 5 + 1T + 5X = -4 + 5 Combine like terms: -5 + 5 = 0 0 + 1T + 5X = -4 + 5 1T + 5X = -4 + 5 Combine like terms: -4 + 5 = 1 1T + 5X = 1 Add '-5X' to each side of the equation. 1T + 5X + -5X = 1 + -5X Combine like terms: 5X + -5X = 0 1T + 0 = 1 + -5X 1T = 1 + -5X Divide each side by '1'. T = 1 + -5X Simplifying T = 1 + -5X
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