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Simplifying (3(1 + 3x)) + -1(4(2 + -4x)) + -1(5(1 + -5t)) + -15 = 0 ((1 * 3 + 3x * 3)) + -1(4(2 + -4x)) + -1(5(1 + -5t)) + -15 = 0 ((3 + 9x)) + -1(4(2 + -4x)) + -1(5(1 + -5t)) + -15 = 0 (3 + 9x) + -1(4(2 + -4x)) + -1(5(1 + -5t)) + -15 = 0 Remove parenthesis around (3 + 9x) 3 + 9x + -1(4(2 + -4x)) + -1(5(1 + -5t)) + -15 = 0 3 + 9x + -1((2 * 4 + -4x * 4)) + -1(5(1 + -5t)) + -15 = 0 3 + 9x + -1((8 + -16x)) + -1(5(1 + -5t)) + -15 = 0 3 + 9x + (8 * -1 + -16x * -1) + -1(5(1 + -5t)) + -15 = 0 3 + 9x + (-8 + 16x) + -1(5(1 + -5t)) + -15 = 0 3 + 9x + -8 + 16x + -1((1 * 5 + -5t * 5)) + -15 = 0 3 + 9x + -8 + 16x + -1((5 + -25t)) + -15 = 0 3 + 9x + -8 + 16x + (5 * -1 + -25t * -1) + -15 = 0 3 + 9x + -8 + 16x + (-5 + 25t) + -15 = 0 Reorder the terms: 3 + -8 + -5 + -15 + 25t + 9x + 16x = 0 Combine like terms: 3 + -8 = -5 -5 + -5 + -15 + 25t + 9x + 16x = 0 Combine like terms: -5 + -5 = -10 -10 + -15 + 25t + 9x + 16x = 0 Combine like terms: -10 + -15 = -25 -25 + 25t + 9x + 16x = 0 Combine like terms: 9x + 16x = 25x -25 + 25t + 25x = 0 Solving -25 + 25t + 25x = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25t + 25 + 25x = 0 + 25 Reorder the terms: -25 + 25 + 25t + 25x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 25t + 25x = 0 + 25 25t + 25x = 0 + 25 Combine like terms: 0 + 25 = 25 25t + 25x = 25 Add '-25x' to each side of the equation. 25t + 25x + -25x = 25 + -25x Combine like terms: 25x + -25x = 0 25t + 0 = 25 + -25x 25t = 25 + -25x Divide each side by '25'. t = 1 + -1x Simplifying t = 1 + -1x
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