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Simplifying 2(3y + 4x) = 12 + -1y Reorder the terms: 2(4x + 3y) = 12 + -1y (4x * 2 + 3y * 2) = 12 + -1y (8x + 6y) = 12 + -1y Solving 8x + 6y = 12 + -1y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. 8x + 6y + -6y = 12 + -1y + -6y Combine like terms: 6y + -6y = 0 8x + 0 = 12 + -1y + -6y 8x = 12 + -1y + -6y Combine like terms: -1y + -6y = -7y 8x = 12 + -7y Divide each side by '8'. x = 1.5 + -0.875y Simplifying x = 1.5 + -0.875y
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