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Simplifying 2tx + -1(3x + -5) = 4(3 + -2x) + (5x + -2) Reorder the terms: 2tx + -1(-5 + 3x) = 4(3 + -2x) + (5x + -2) 2tx + (-5 * -1 + 3x * -1) = 4(3 + -2x) + (5x + -2) 2tx + (5 + -3x) = 4(3 + -2x) + (5x + -2) Reorder the terms: 5 + 2tx + -3x = 4(3 + -2x) + (5x + -2) 5 + 2tx + -3x = (3 * 4 + -2x * 4) + (5x + -2) 5 + 2tx + -3x = (12 + -8x) + (5x + -2) Reorder the terms: 5 + 2tx + -3x = 12 + -8x + (-2 + 5x) Remove parenthesis around (-2 + 5x) 5 + 2tx + -3x = 12 + -8x + -2 + 5x Reorder the terms: 5 + 2tx + -3x = 12 + -2 + -8x + 5x Combine like terms: 12 + -2 = 10 5 + 2tx + -3x = 10 + -8x + 5x Combine like terms: -8x + 5x = -3x 5 + 2tx + -3x = 10 + -3x Add '3x' to each side of the equation. 5 + 2tx + -3x + 3x = 10 + -3x + 3x Combine like terms: -3x + 3x = 0 5 + 2tx + 0 = 10 + -3x + 3x 5 + 2tx = 10 + -3x + 3x Combine like terms: -3x + 3x = 0 5 + 2tx = 10 + 0 5 + 2tx = 10 Solving 5 + 2tx = 10 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2tx = 10 + -5 Combine like terms: 5 + -5 = 0 0 + 2tx = 10 + -5 2tx = 10 + -5 Combine like terms: 10 + -5 = 5 2tx = 5 Divide each side by '2x'. t = 2.5x-1 Simplifying t = 2.5x-1
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