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Simplifying 3(5cx + -2y) = 14(cx + 1) (5cx * 3 + -2y * 3) = 14(cx + 1) (15cx + -6y) = 14(cx + 1) Reorder the terms: 15cx + -6y = 14(1 + cx) 15cx + -6y = (1 * 14 + cx * 14) 15cx + -6y = (14 + 14cx) Solving 15cx + -6y = 14 + 14cx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-14cx' to each side of the equation. 15cx + -14cx + -6y = 14 + 14cx + -14cx Combine like terms: 15cx + -14cx = 1cx 1cx + -6y = 14 + 14cx + -14cx Combine like terms: 14cx + -14cx = 0 1cx + -6y = 14 + 0 1cx + -6y = 14 Add '6y' to each side of the equation. 1cx + -6y + 6y = 14 + 6y Combine like terms: -6y + 6y = 0 1cx + 0 = 14 + 6y 1cx = 14 + 6y Divide each side by '1x'. c = 14x-1 + 6x-1y Simplifying c = 14x-1 + 6x-1y
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