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Simplifying 5(-1x + -4) + -2t = 5(t + -2) Reorder the terms: 5(-4 + -1x) + -2t = 5(t + -2) (-4 * 5 + -1x * 5) + -2t = 5(t + -2) (-20 + -5x) + -2t = 5(t + -2) Reorder the terms: -20 + -2t + -5x = 5(t + -2) Reorder the terms: -20 + -2t + -5x = 5(-2 + t) -20 + -2t + -5x = (-2 * 5 + t * 5) -20 + -2t + -5x = (-10 + 5t) Solving -20 + -2t + -5x = -10 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -20 + -2t + -5t + -5x = -10 + 5t + -5t Combine like terms: -2t + -5t = -7t -20 + -7t + -5x = -10 + 5t + -5t Combine like terms: 5t + -5t = 0 -20 + -7t + -5x = -10 + 0 -20 + -7t + -5x = -10 Add '20' to each side of the equation. -20 + -7t + 20 + -5x = -10 + 20 Reorder the terms: -20 + 20 + -7t + -5x = -10 + 20 Combine like terms: -20 + 20 = 0 0 + -7t + -5x = -10 + 20 -7t + -5x = -10 + 20 Combine like terms: -10 + 20 = 10 -7t + -5x = 10 Add '5x' to each side of the equation. -7t + -5x + 5x = 10 + 5x Combine like terms: -5x + 5x = 0 -7t + 0 = 10 + 5x -7t = 10 + 5x Divide each side by '-7'. t = -1.428571429 + -0.7142857143x Simplifying t = -1.428571429 + -0.7142857143x
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