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Simplifying -2 = 5(3xt + 1) + -12x Reorder the terms: -2 = 5(1 + 3tx) + -12x -2 = (1 * 5 + 3tx * 5) + -12x -2 = (5 + 15tx) + -12x Solving -2 = 5 + 15tx + -12x Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15tx' to each side of the equation. -2 + -15tx = 5 + 15tx + -15tx + -12x Combine like terms: 15tx + -15tx = 0 -2 + -15tx = 5 + 0 + -12x -2 + -15tx = 5 + -12x Add '2' to each side of the equation. -2 + 2 + -15tx = 5 + 2 + -12x Combine like terms: -2 + 2 = 0 0 + -15tx = 5 + 2 + -12x -15tx = 5 + 2 + -12x Combine like terms: 5 + 2 = 7 -15tx = 7 + -12x Divide each side by '-15x'. t = -0.4666666667x-1 + 0.8 Simplifying t = -0.4666666667x-1 + 0.8 Reorder the terms: t = 0.8 + -0.4666666667x-1
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