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Simplifying 3(2x + -1y) = 2(z + -3x) (2x * 3 + -1y * 3) = 2(z + -3x) (6x + -3y) = 2(z + -3x) Reorder the terms: 6x + -3y = 2(-3x + z) 6x + -3y = (-3x * 2 + z * 2) 6x + -3y = (-6x + 2z) Solving 6x + -3y = -6x + 2z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 6x + 6x + -3y = -6x + 6x + 2z Combine like terms: 6x + 6x = 12x 12x + -3y = -6x + 6x + 2z Combine like terms: -6x + 6x = 0 12x + -3y = 0 + 2z 12x + -3y = 2z Add '3y' to each side of the equation. 12x + -3y + 3y = 3y + 2z Combine like terms: -3y + 3y = 0 12x + 0 = 3y + 2z 12x = 3y + 2z Divide each side by '12'. x = 0.25y + 0.1666666667z Simplifying x = 0.25y + 0.1666666667z
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