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Simplifying x + -5(c + 12) + -1(x + -13) = -17 Reorder the terms: x + -5(12 + c) + -1(x + -13) = -17 x + (12 * -5 + c * -5) + -1(x + -13) = -17 x + (-60 + -5c) + -1(x + -13) = -17 Reorder the terms: x + -60 + -5c + -1(-13 + x) = -17 x + -60 + -5c + (-13 * -1 + x * -1) = -17 x + -60 + -5c + (13 + -1x) = -17 Reorder the terms: -60 + 13 + -5c + x + -1x = -17 Combine like terms: -60 + 13 = -47 -47 + -5c + x + -1x = -17 Combine like terms: x + -1x = 0 -47 + -5c + 0 = -17 -47 + -5c = -17 Solving -47 + -5c = -17 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + -5c = -17 + 47 Combine like terms: -47 + 47 = 0 0 + -5c = -17 + 47 -5c = -17 + 47 Combine like terms: -17 + 47 = 30 -5c = 30 Divide each side by '-5'. c = -6 Simplifying c = -6
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