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Simplifying 4c + 3(2x + -1) = 47 Reorder the terms: 4c + 3(-1 + 2x) = 47 4c + (-1 * 3 + 2x * 3) = 47 4c + (-3 + 6x) = 47 Reorder the terms: -3 + 4c + 6x = 47 Solving -3 + 4c + 6x = 47 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 4c + 3 + 6x = 47 + 3 Reorder the terms: -3 + 3 + 4c + 6x = 47 + 3 Combine like terms: -3 + 3 = 0 0 + 4c + 6x = 47 + 3 4c + 6x = 47 + 3 Combine like terms: 47 + 3 = 50 4c + 6x = 50 Add '-6x' to each side of the equation. 4c + 6x + -6x = 50 + -6x Combine like terms: 6x + -6x = 0 4c + 0 = 50 + -6x 4c = 50 + -6x Divide each side by '4'. c = 12.5 + -1.5x Simplifying c = 12.5 + -1.5x
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