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Simplifying (12x + 35) + -1(5c + -11) = -2 Reorder the terms: (35 + 12x) + -1(5c + -11) = -2 Remove parenthesis around (35 + 12x) 35 + 12x + -1(5c + -11) = -2 Reorder the terms: 35 + 12x + -1(-11 + 5c) = -2 35 + 12x + (-11 * -1 + 5c * -1) = -2 35 + 12x + (11 + -5c) = -2 Reorder the terms: 35 + 11 + -5c + 12x = -2 Combine like terms: 35 + 11 = 46 46 + -5c + 12x = -2 Solving 46 + -5c + 12x = -2 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -5c + -46 + 12x = -2 + -46 Reorder the terms: 46 + -46 + -5c + 12x = -2 + -46 Combine like terms: 46 + -46 = 0 0 + -5c + 12x = -2 + -46 -5c + 12x = -2 + -46 Combine like terms: -2 + -46 = -48 -5c + 12x = -48 Add '-12x' to each side of the equation. -5c + 12x + -12x = -48 + -12x Combine like terms: 12x + -12x = 0 -5c + 0 = -48 + -12x -5c = -48 + -12x Divide each side by '-5'. c = 9.6 + 2.4x Simplifying c = 9.6 + 2.4x
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