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Simplifying (4x + -2t + 5) + -1(x + 2t + -10) = 0 Reorder the terms: (5 + -2t + 4x) + -1(x + 2t + -10) = 0 Remove parenthesis around (5 + -2t + 4x) 5 + -2t + 4x + -1(x + 2t + -10) = 0 Reorder the terms: 5 + -2t + 4x + -1(-10 + 2t + x) = 0 5 + -2t + 4x + (-10 * -1 + 2t * -1 + x * -1) = 0 5 + -2t + 4x + (10 + -2t + -1x) = 0 Reorder the terms: 5 + 10 + -2t + -2t + 4x + -1x = 0 Combine like terms: 5 + 10 = 15 15 + -2t + -2t + 4x + -1x = 0 Combine like terms: -2t + -2t = -4t 15 + -4t + 4x + -1x = 0 Combine like terms: 4x + -1x = 3x 15 + -4t + 3x = 0 Solving 15 + -4t + 3x = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -4t + -15 + 3x = 0 + -15 Reorder the terms: 15 + -15 + -4t + 3x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -4t + 3x = 0 + -15 -4t + 3x = 0 + -15 Combine like terms: 0 + -15 = -15 -4t + 3x = -15 Add '-3x' to each side of the equation. -4t + 3x + -3x = -15 + -3x Combine like terms: 3x + -3x = 0 -4t + 0 = -15 + -3x -4t = -15 + -3x Divide each side by '-4'. t = 3.75 + 0.75x Simplifying t = 3.75 + 0.75x
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