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Simplifying 2(5x + -1) + t = 10 + -1t Reorder the terms: 2(-1 + 5x) + t = 10 + -1t (-1 * 2 + 5x * 2) + t = 10 + -1t (-2 + 10x) + t = 10 + -1t Reorder the terms: -2 + t + 10x = 10 + -1t Solving -2 + t + 10x = 10 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. -2 + t + t + 10x = 10 + -1t + t Combine like terms: t + t = 2t -2 + 2t + 10x = 10 + -1t + t Combine like terms: -1t + t = 0 -2 + 2t + 10x = 10 + 0 -2 + 2t + 10x = 10 Add '2' to each side of the equation. -2 + 2t + 2 + 10x = 10 + 2 Reorder the terms: -2 + 2 + 2t + 10x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 2t + 10x = 10 + 2 2t + 10x = 10 + 2 Combine like terms: 10 + 2 = 12 2t + 10x = 12 Add '-10x' to each side of the equation. 2t + 10x + -10x = 12 + -10x Combine like terms: 10x + -10x = 0 2t + 0 = 12 + -10x 2t = 12 + -10x Divide each side by '2'. t = 6 + -5x Simplifying t = 6 + -5x
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