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Simplifying 31 + 5(7 + -1c) = 3(2x + -11) 31 + (7 * 5 + -1c * 5) = 3(2x + -11) 31 + (35 + -5c) = 3(2x + -11) Combine like terms: 31 + 35 = 66 66 + -5c = 3(2x + -11) Reorder the terms: 66 + -5c = 3(-11 + 2x) 66 + -5c = (-11 * 3 + 2x * 3) 66 + -5c = (-33 + 6x) Solving 66 + -5c = -33 + 6x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + -66 + -5c = -33 + -66 + 6x Combine like terms: 66 + -66 = 0 0 + -5c = -33 + -66 + 6x -5c = -33 + -66 + 6x Combine like terms: -33 + -66 = -99 -5c = -99 + 6x Divide each side by '-5'. c = 19.8 + -1.2x Simplifying c = 19.8 + -1.2x
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