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Simplifying 2(x + 25) + 3(x + 25t) = -25 Reorder the terms: 2(25 + x) + 3(x + 25t) = -25 (25 * 2 + x * 2) + 3(x + 25t) = -25 (50 + 2x) + 3(x + 25t) = -25 Reorder the terms: 50 + 2x + 3(25t + x) = -25 50 + 2x + (25t * 3 + x * 3) = -25 50 + 2x + (75t + 3x) = -25 Reorder the terms: 50 + 75t + 2x + 3x = -25 Combine like terms: 2x + 3x = 5x 50 + 75t + 5x = -25 Solving 50 + 75t + 5x = -25 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + 75t + -50 + 5x = -25 + -50 Reorder the terms: 50 + -50 + 75t + 5x = -25 + -50 Combine like terms: 50 + -50 = 0 0 + 75t + 5x = -25 + -50 75t + 5x = -25 + -50 Combine like terms: -25 + -50 = -75 75t + 5x = -75 Add '-5x' to each side of the equation. 75t + 5x + -5x = -75 + -5x Combine like terms: 5x + -5x = 0 75t + 0 = -75 + -5x 75t = -75 + -5x Divide each side by '75'. t = -1 + -0.06666666667x Simplifying t = -1 + -0.06666666667x
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