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Simplifying (5x + 6t + -7) + (-8x + -3t + -1) = 0 Reorder the terms: (-7 + 6t + 5x) + (-8x + -3t + -1) = 0 Remove parenthesis around (-7 + 6t + 5x) -7 + 6t + 5x + (-8x + -3t + -1) = 0 Reorder the terms: -7 + 6t + 5x + (-1 + -3t + -8x) = 0 Remove parenthesis around (-1 + -3t + -8x) -7 + 6t + 5x + -1 + -3t + -8x = 0 Reorder the terms: -7 + -1 + 6t + -3t + 5x + -8x = 0 Combine like terms: -7 + -1 = -8 -8 + 6t + -3t + 5x + -8x = 0 Combine like terms: 6t + -3t = 3t -8 + 3t + 5x + -8x = 0 Combine like terms: 5x + -8x = -3x -8 + 3t + -3x = 0 Solving -8 + 3t + -3x = 0 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 + 3t + 8 + -3x = 0 + 8 Reorder the terms: -8 + 8 + 3t + -3x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 3t + -3x = 0 + 8 3t + -3x = 0 + 8 Combine like terms: 0 + 8 = 8 3t + -3x = 8 Add '3x' to each side of the equation. 3t + -3x + 3x = 8 + 3x Combine like terms: -3x + 3x = 0 3t + 0 = 8 + 3x 3t = 8 + 3x Divide each side by '3'. t = 2.666666667 + x Simplifying t = 2.666666667 + x
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