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Simplifying 3(4x + -1y) = 2x + y + 6 (4x * 3 + -1y * 3) = 2x + y + 6 (12x + -3y) = 2x + y + 6 Reorder the terms: 12x + -3y = 6 + 2x + y Solving 12x + -3y = 6 + 2x + y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12x + -2x + -3y = 6 + 2x + -2x + y Combine like terms: 12x + -2x = 10x 10x + -3y = 6 + 2x + -2x + y Combine like terms: 2x + -2x = 0 10x + -3y = 6 + 0 + y 10x + -3y = 6 + y Add '3y' to each side of the equation. 10x + -3y + 3y = 6 + y + 3y Combine like terms: -3y + 3y = 0 10x + 0 = 6 + y + 3y 10x = 6 + y + 3y Combine like terms: y + 3y = 4y 10x = 6 + 4y Divide each side by '10'. x = 0.6 + 0.4y Simplifying x = 0.6 + 0.4y
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