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Simplifying 2xt + -12x + 1 = 9 + -10x Reorder the terms: 1 + 2tx + -12x = 9 + -10x Solving 1 + 2tx + -12x = 9 + -10x Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2tx + -1 + -12x = 9 + -1 + -10x Reorder the terms: 1 + -1 + 2tx + -12x = 9 + -1 + -10x Combine like terms: 1 + -1 = 0 0 + 2tx + -12x = 9 + -1 + -10x 2tx + -12x = 9 + -1 + -10x Combine like terms: 9 + -1 = 8 2tx + -12x = 8 + -10x Add '12x' to each side of the equation. 2tx + -12x + 12x = 8 + -10x + 12x Combine like terms: -12x + 12x = 0 2tx + 0 = 8 + -10x + 12x 2tx = 8 + -10x + 12x Combine like terms: -10x + 12x = 2x 2tx = 8 + 2x Divide each side by '2x'. t = 4x-1 + 1 Simplifying t = 4x-1 + 1 Reorder the terms: t = 1 + 4x-1
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