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Simplifying 2tx + -1(3x + -50) = 4(3 + -2x) + (5x + -2) Reorder the terms: 2tx + -1(-50 + 3x) = 4(3 + -2x) + (5x + -2) 2tx + (-50 * -1 + 3x * -1) = 4(3 + -2x) + (5x + -2) 2tx + (50 + -3x) = 4(3 + -2x) + (5x + -2) Reorder the terms: 50 + 2tx + -3x = 4(3 + -2x) + (5x + -2) 50 + 2tx + -3x = (3 * 4 + -2x * 4) + (5x + -2) 50 + 2tx + -3x = (12 + -8x) + (5x + -2) Reorder the terms: 50 + 2tx + -3x = 12 + -8x + (-2 + 5x) Remove parenthesis around (-2 + 5x) 50 + 2tx + -3x = 12 + -8x + -2 + 5x Reorder the terms: 50 + 2tx + -3x = 12 + -2 + -8x + 5x Combine like terms: 12 + -2 = 10 50 + 2tx + -3x = 10 + -8x + 5x Combine like terms: -8x + 5x = -3x 50 + 2tx + -3x = 10 + -3x Add '3x' to each side of the equation. 50 + 2tx + -3x + 3x = 10 + -3x + 3x Combine like terms: -3x + 3x = 0 50 + 2tx + 0 = 10 + -3x + 3x 50 + 2tx = 10 + -3x + 3x Combine like terms: -3x + 3x = 0 50 + 2tx = 10 + 0 50 + 2tx = 10 Solving 50 + 2tx = 10 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 2tx = 10 + -50 Combine like terms: 50 + -50 = 0 0 + 2tx = 10 + -50 2tx = 10 + -50 Combine like terms: 10 + -50 = -40 2tx = -40 Divide each side by '2x'. t = -20x-1 Simplifying t = -20x-1
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