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Simplifying (7t + -2) + -1(-3x + 1) = -3(1 + -3t) Reorder the terms: (-2 + 7t) + -1(-3x + 1) = -3(1 + -3t) Remove parenthesis around (-2 + 7t) -2 + 7t + -1(-3x + 1) = -3(1 + -3t) Reorder the terms: -2 + 7t + -1(1 + -3x) = -3(1 + -3t) -2 + 7t + (1 * -1 + -3x * -1) = -3(1 + -3t) -2 + 7t + (-1 + 3x) = -3(1 + -3t) Reorder the terms: -2 + -1 + 7t + 3x = -3(1 + -3t) Combine like terms: -2 + -1 = -3 -3 + 7t + 3x = -3(1 + -3t) -3 + 7t + 3x = (1 * -3 + -3t * -3) -3 + 7t + 3x = (-3 + 9t) Add '3' to each side of the equation. -3 + 7t + 3 + 3x = -3 + 3 + 9t Reorder the terms: -3 + 3 + 7t + 3x = -3 + 3 + 9t Combine like terms: -3 + 3 = 0 0 + 7t + 3x = -3 + 3 + 9t 7t + 3x = -3 + 3 + 9t Combine like terms: -3 + 3 = 0 7t + 3x = 0 + 9t 7t + 3x = 9t Solving 7t + 3x = 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 7t + -9t + 3x = 9t + -9t Combine like terms: 7t + -9t = -2t -2t + 3x = 9t + -9t Combine like terms: 9t + -9t = 0 -2t + 3x = 0 Add '-3x' to each side of the equation. -2t + 3x + -3x = 0 + -3x Combine like terms: 3x + -3x = 0 -2t + 0 = 0 + -3x -2t = 0 + -3x Remove the zero: -2t = -3x Divide each side by '-2'. t = 1.5x Simplifying t = 1.5x
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