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Simplifying -5(t + -5x) + 5(-8x + -2) = -4x + -8x (t * -5 + -5x * -5) + 5(-8x + -2) = -4x + -8x (-5t + 25x) + 5(-8x + -2) = -4x + -8x Reorder the terms: -5t + 25x + 5(-2 + -8x) = -4x + -8x -5t + 25x + (-2 * 5 + -8x * 5) = -4x + -8x -5t + 25x + (-10 + -40x) = -4x + -8x Reorder the terms: -10 + -5t + 25x + -40x = -4x + -8x Combine like terms: 25x + -40x = -15x -10 + -5t + -15x = -4x + -8x Combine like terms: -4x + -8x = -12x -10 + -5t + -15x = -12x Solving -10 + -5t + -15x = -12x 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 + -5t + 10 + -15x = 10 + -12x Reorder the terms: -10 + 10 + -5t + -15x = 10 + -12x Combine like terms: -10 + 10 = 0 0 + -5t + -15x = 10 + -12x -5t + -15x = 10 + -12x Add '15x' to each side of the equation. -5t + -15x + 15x = 10 + -12x + 15x Combine like terms: -15x + 15x = 0 -5t + 0 = 10 + -12x + 15x -5t = 10 + -12x + 15x Combine like terms: -12x + 15x = 3x -5t = 10 + 3x Divide each side by '-5'. t = -2 + -0.6x Simplifying t = -2 + -0.6x
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