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Simplifying (12x + 5t) + -1(14t + -6x) = 0 Reorder the terms: (5t + 12x) + -1(14t + -6x) = 0 Remove parenthesis around (5t + 12x) 5t + 12x + -1(14t + -6x) = 0 5t + 12x + (14t * -1 + -6x * -1) = 0 5t + 12x + (-14t + 6x) = 0 Reorder the terms: 5t + -14t + 12x + 6x = 0 Combine like terms: 5t + -14t = -9t -9t + 12x + 6x = 0 Combine like terms: 12x + 6x = 18x -9t + 18x = 0 Solving -9t + 18x = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-18x' to each side of the equation. -9t + 18x + -18x = 0 + -18x Combine like terms: 18x + -18x = 0 -9t + 0 = 0 + -18x -9t = 0 + -18x Remove the zero: -9t = -18x Divide each side by '-9'. t = 2x Simplifying t = 2x
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