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Simplifying 8c + 3(5 + -1x) = 10 8c + (5 * 3 + -1x * 3) = 10 8c + (15 + -3x) = 10 Reorder the terms: 15 + 8c + -3x = 10 Solving 15 + 8c + -3x = 10 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 + 8c + -15 + -3x = 10 + -15 Reorder the terms: 15 + -15 + 8c + -3x = 10 + -15 Combine like terms: 15 + -15 = 0 0 + 8c + -3x = 10 + -15 8c + -3x = 10 + -15 Combine like terms: 10 + -15 = -5 8c + -3x = -5 Add '3x' to each side of the equation. 8c + -3x + 3x = -5 + 3x Combine like terms: -3x + 3x = 0 8c + 0 = -5 + 3x 8c = -5 + 3x Divide each side by '8'. c = -0.625 + 0.375x Simplifying c = -0.625 + 0.375x
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