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Simplifying 8 = -5(4c + 1) + 21x Reorder the terms: 8 = -5(1 + 4c) + 21x 8 = (1 * -5 + 4c * -5) + 21x 8 = (-5 + -20c) + 21x Solving 8 = -5 + -20c + 21x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '20c' to each side of the equation. 8 + 20c = -5 + -20c + 20c + 21x Combine like terms: -20c + 20c = 0 8 + 20c = -5 + 0 + 21x 8 + 20c = -5 + 21x Add '-8' to each side of the equation. 8 + -8 + 20c = -5 + -8 + 21x Combine like terms: 8 + -8 = 0 0 + 20c = -5 + -8 + 21x 20c = -5 + -8 + 21x Combine like terms: -5 + -8 = -13 20c = -13 + 21x Divide each side by '20'. c = -0.65 + 1.05x Simplifying c = -0.65 + 1.05x
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