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Simplifying 5(7cx + y) = 34cx + -7y (7cx * 5 + y * 5) = 34cx + -7y (35cx + 5y) = 34cx + -7y Solving 35cx + 5y = 34cx + -7y Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-34cx' to each side of the equation. 35cx + -34cx + 5y = 34cx + -34cx + -7y Combine like terms: 35cx + -34cx = 1cx 1cx + 5y = 34cx + -34cx + -7y Combine like terms: 34cx + -34cx = 0 1cx + 5y = 0 + -7y 1cx + 5y = -7y Add '-5y' to each side of the equation. 1cx + 5y + -5y = -7y + -5y Combine like terms: 5y + -5y = 0 1cx + 0 = -7y + -5y 1cx = -7y + -5y Combine like terms: -7y + -5y = -12y 1cx = -12y Divide each side by '1x'. c = -12x-1y Simplifying c = -12x-1y
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