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Simplifying 12(3x + y) = 5(2y + 8) (3x * 12 + y * 12) = 5(2y + 8) (36x + 12y) = 5(2y + 8) Reorder the terms: 36x + 12y = 5(8 + 2y) 36x + 12y = (8 * 5 + 2y * 5) 36x + 12y = (40 + 10y) Solving 36x + 12y = 40 + 10y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12y' to each side of the equation. 36x + 12y + -12y = 40 + 10y + -12y Combine like terms: 12y + -12y = 0 36x + 0 = 40 + 10y + -12y 36x = 40 + 10y + -12y Combine like terms: 10y + -12y = -2y 36x = 40 + -2y Divide each side by '36'. x = 1.111111111 + -0.05555555556y Simplifying x = 1.111111111 + -0.05555555556y
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