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Simplifying (2t + 5)(x + -2) = 0 Reorder the terms: (5 + 2t)(x + -2) = 0 Reorder the terms: (5 + 2t)(-2 + x) = 0 Multiply (5 + 2t) * (-2 + x) (5(-2 + x) + 2t * (-2 + x)) = 0 ((-2 * 5 + x * 5) + 2t * (-2 + x)) = 0 ((-10 + 5x) + 2t * (-2 + x)) = 0 (-10 + 5x + (-2 * 2t + x * 2t)) = 0 (-10 + 5x + (-4t + 2tx)) = 0 Reorder the terms: (-10 + -4t + 2tx + 5x) = 0 (-10 + -4t + 2tx + 5x) = 0 Solving -10 + -4t + 2tx + 5x = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '10' to each side of the equation. -10 + -4t + 2tx + 10 + 5x = 0 + 10 Reorder the terms: -10 + 10 + -4t + 2tx + 5x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -4t + 2tx + 5x = 0 + 10 -4t + 2tx + 5x = 0 + 10 Combine like terms: 0 + 10 = 10 -4t + 2tx + 5x = 10 Add '-5x' to each side of the equation. -4t + 2tx + 5x + -5x = 10 + -5x Combine like terms: 5x + -5x = 0 -4t + 2tx + 0 = 10 + -5x -4t + 2tx = 10 + -5x Reorder the terms: -10 + -4t + 2tx + 5x = 10 + -5x + -10 + 5x Reorder the terms: -10 + -4t + 2tx + 5x = 10 + -10 + -5x + 5x Combine like terms: 10 + -10 = 0 -10 + -4t + 2tx + 5x = 0 + -5x + 5x -10 + -4t + 2tx + 5x = -5x + 5x Combine like terms: -5x + 5x = 0 -10 + -4t + 2tx + 5x = 0 The solution to this equation could not be determined.
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