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Simplifying (c + -12) + c + (x + 18) = 102 Reorder the terms: (-12 + c) + c + (x + 18) = 102 Remove parenthesis around (-12 + c) -12 + c + c + (x + 18) = 102 Reorder the terms: -12 + c + c + (18 + x) = 102 Remove parenthesis around (18 + x) -12 + c + c + 18 + x = 102 Reorder the terms: -12 + 18 + c + c + x = 102 Combine like terms: -12 + 18 = 6 6 + c + c + x = 102 Combine like terms: c + c = 2c 6 + 2c + x = 102 Solving 6 + 2c + x = 102 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 2c + -6 + x = 102 + -6 Reorder the terms: 6 + -6 + 2c + x = 102 + -6 Combine like terms: 6 + -6 = 0 0 + 2c + x = 102 + -6 2c + x = 102 + -6 Combine like terms: 102 + -6 = 96 2c + x = 96 Add '-1x' to each side of the equation. 2c + x + -1x = 96 + -1x Combine like terms: x + -1x = 0 2c + 0 = 96 + -1x 2c = 96 + -1x Divide each side by '2'. c = 48 + -0.5x Simplifying c = 48 + -0.5x
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