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Simplifying 4c + -3(x + -8) = 47 Reorder the terms: 4c + -3(-8 + x) = 47 4c + (-8 * -3 + x * -3) = 47 4c + (24 + -3x) = 47 Reorder the terms: 24 + 4c + -3x = 47 Solving 24 + 4c + -3x = 47 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + 4c + -24 + -3x = 47 + -24 Reorder the terms: 24 + -24 + 4c + -3x = 47 + -24 Combine like terms: 24 + -24 = 0 0 + 4c + -3x = 47 + -24 4c + -3x = 47 + -24 Combine like terms: 47 + -24 = 23 4c + -3x = 23 Add '3x' to each side of the equation. 4c + -3x + 3x = 23 + 3x Combine like terms: -3x + 3x = 0 4c + 0 = 23 + 3x 4c = 23 + 3x Divide each side by '4'. c = 5.75 + 0.75x Simplifying c = 5.75 + 0.75x
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