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Simplifying 6x + 5 + 7t + 3 = 12x + 4 Reorder the terms: 5 + 3 + 7t + 6x = 12x + 4 Combine like terms: 5 + 3 = 8 8 + 7t + 6x = 12x + 4 Reorder the terms: 8 + 7t + 6x = 4 + 12x Solving 8 + 7t + 6x = 4 + 12x Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 7t + -8 + 6x = 4 + -8 + 12x Reorder the terms: 8 + -8 + 7t + 6x = 4 + -8 + 12x Combine like terms: 8 + -8 = 0 0 + 7t + 6x = 4 + -8 + 12x 7t + 6x = 4 + -8 + 12x Combine like terms: 4 + -8 = -4 7t + 6x = -4 + 12x Add '-6x' to each side of the equation. 7t + 6x + -6x = -4 + 12x + -6x Combine like terms: 6x + -6x = 0 7t + 0 = -4 + 12x + -6x 7t = -4 + 12x + -6x Combine like terms: 12x + -6x = 6x 7t = -4 + 6x Divide each side by '7'. t = -0.5714285714 + 0.8571428571x Simplifying t = -0.5714285714 + 0.8571428571x
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