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Simplifying 12x + -1(4c + 10) = 54 Reorder the terms: 12x + -1(10 + 4c) = 54 12x + (10 * -1 + 4c * -1) = 54 12x + (-10 + -4c) = 54 Reorder the terms: -10 + -4c + 12x = 54 Solving -10 + -4c + 12x = 54 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '10' to each side of the equation. -10 + -4c + 10 + 12x = 54 + 10 Reorder the terms: -10 + 10 + -4c + 12x = 54 + 10 Combine like terms: -10 + 10 = 0 0 + -4c + 12x = 54 + 10 -4c + 12x = 54 + 10 Combine like terms: 54 + 10 = 64 -4c + 12x = 64 Add '-12x' to each side of the equation. -4c + 12x + -12x = 64 + -12x Combine like terms: 12x + -12x = 0 -4c + 0 = 64 + -12x -4c = 64 + -12x Divide each side by '-4'. c = -16 + 3x Simplifying c = -16 + 3x
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