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Simplifying -5(1 + -5x) + 5(8c + -2) = -4x + -8x (1 * -5 + -5x * -5) + 5(8c + -2) = -4x + -8x (-5 + 25x) + 5(8c + -2) = -4x + -8x Reorder the terms: -5 + 25x + 5(-2 + 8c) = -4x + -8x -5 + 25x + (-2 * 5 + 8c * 5) = -4x + -8x -5 + 25x + (-10 + 40c) = -4x + -8x Reorder the terms: -5 + -10 + 40c + 25x = -4x + -8x Combine like terms: -5 + -10 = -15 -15 + 40c + 25x = -4x + -8x Combine like terms: -4x + -8x = -12x -15 + 40c + 25x = -12x Solving -15 + 40c + 25x = -12x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 40c + 15 + 25x = 15 + -12x Reorder the terms: -15 + 15 + 40c + 25x = 15 + -12x Combine like terms: -15 + 15 = 0 0 + 40c + 25x = 15 + -12x 40c + 25x = 15 + -12x Add '-25x' to each side of the equation. 40c + 25x + -25x = 15 + -12x + -25x Combine like terms: 25x + -25x = 0 40c + 0 = 15 + -12x + -25x 40c = 15 + -12x + -25x Combine like terms: -12x + -25x = -37x 40c = 15 + -37x Divide each side by '40'. c = 0.375 + -0.925x Simplifying c = 0.375 + -0.925x
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