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Simplifying -5(1 + -5c) + 5(-8x + -2) = -4x + -8x (1 * -5 + -5c * -5) + 5(-8x + -2) = -4x + -8x (-5 + 25c) + 5(-8x + -2) = -4x + -8x Reorder the terms: -5 + 25c + 5(-2 + -8x) = -4x + -8x -5 + 25c + (-2 * 5 + -8x * 5) = -4x + -8x -5 + 25c + (-10 + -40x) = -4x + -8x Reorder the terms: -5 + -10 + 25c + -40x = -4x + -8x Combine like terms: -5 + -10 = -15 -15 + 25c + -40x = -4x + -8x Combine like terms: -4x + -8x = -12x -15 + 25c + -40x = -12x Solving -15 + 25c + -40x = -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 + 25c + 15 + -40x = 15 + -12x Reorder the terms: -15 + 15 + 25c + -40x = 15 + -12x Combine like terms: -15 + 15 = 0 0 + 25c + -40x = 15 + -12x 25c + -40x = 15 + -12x Add '40x' to each side of the equation. 25c + -40x + 40x = 15 + -12x + 40x Combine like terms: -40x + 40x = 0 25c + 0 = 15 + -12x + 40x 25c = 15 + -12x + 40x Combine like terms: -12x + 40x = 28x 25c = 15 + 28x Divide each side by '25'. c = 0.6 + 1.12x Simplifying c = 0.6 + 1.12x
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