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Simplifying 3t + 2 + 3x + -4x + t + 4 + -5x = 0 Reorder the terms: 2 + 4 + 3t + t + 3x + -4x + -5x = 0 Combine like terms: 2 + 4 = 6 6 + 3t + t + 3x + -4x + -5x = 0 Combine like terms: 3t + t = 4t 6 + 4t + 3x + -4x + -5x = 0 Combine like terms: 3x + -4x = -1x 6 + 4t + -1x + -5x = 0 Combine like terms: -1x + -5x = -6x 6 + 4t + -6x = 0 Solving 6 + 4t + -6x = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 4t + -6 + -6x = 0 + -6 Reorder the terms: 6 + -6 + 4t + -6x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 4t + -6x = 0 + -6 4t + -6x = 0 + -6 Combine like terms: 0 + -6 = -6 4t + -6x = -6 Add '6x' to each side of the equation. 4t + -6x + 6x = -6 + 6x Combine like terms: -6x + 6x = 0 4t + 0 = -6 + 6x 4t = -6 + 6x Divide each side by '4'. t = -1.5 + 1.5x Simplifying t = -1.5 + 1.5x
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