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Simplifying 2(y + -3x) = 16 + -12x Reorder the terms: 2(-3x + y) = 16 + -12x (-3x * 2 + y * 2) = 16 + -12x (-6x + 2y) = 16 + -12x Solving -6x + 2y = 16 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -6x + 12x + 2y = 16 + -12x + 12x Combine like terms: -6x + 12x = 6x 6x + 2y = 16 + -12x + 12x Combine like terms: -12x + 12x = 0 6x + 2y = 16 + 0 6x + 2y = 16 Add '-2y' to each side of the equation. 6x + 2y + -2y = 16 + -2y Combine like terms: 2y + -2y = 0 6x + 0 = 16 + -2y 6x = 16 + -2y Divide each side by '6'. x = 2.666666667 + -0.3333333333y Simplifying x = 2.666666667 + -0.3333333333y
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