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Simplifying -3(x + 3t) + -7(x + -2) = 0 Reorder the terms: -3(3t + x) + -7(x + -2) = 0 (3t * -3 + x * -3) + -7(x + -2) = 0 (-9t + -3x) + -7(x + -2) = 0 Reorder the terms: -9t + -3x + -7(-2 + x) = 0 -9t + -3x + (-2 * -7 + x * -7) = 0 -9t + -3x + (14 + -7x) = 0 Reorder the terms: 14 + -9t + -3x + -7x = 0 Combine like terms: -3x + -7x = -10x 14 + -9t + -10x = 0 Solving 14 + -9t + -10x = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -9t + -14 + -10x = 0 + -14 Reorder the terms: 14 + -14 + -9t + -10x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -9t + -10x = 0 + -14 -9t + -10x = 0 + -14 Combine like terms: 0 + -14 = -14 -9t + -10x = -14 Add '10x' to each side of the equation. -9t + -10x + 10x = -14 + 10x Combine like terms: -10x + 10x = 0 -9t + 0 = -14 + 10x -9t = -14 + 10x Divide each side by '-9'. t = 1.555555556 + -1.111111111x Simplifying t = 1.555555556 + -1.111111111x
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