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Simplifying 2y + -4(3x + 2y) + 2 = 0 2y + (3x * -4 + 2y * -4) + 2 = 0 2y + (-12x + -8y) + 2 = 0 Reorder the terms: 2 + -12x + 2y + -8y = 0 Combine like terms: 2y + -8y = -6y 2 + -12x + -6y = 0 Solving 2 + -12x + -6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -12x + -2 + -6y = 0 + -2 Reorder the terms: 2 + -2 + -12x + -6y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -12x + -6y = 0 + -2 -12x + -6y = 0 + -2 Combine like terms: 0 + -2 = -2 -12x + -6y = -2 Add '6y' to each side of the equation. -12x + -6y + 6y = -2 + 6y Combine like terms: -6y + 6y = 0 -12x + 0 = -2 + 6y -12x = -2 + 6y Divide each side by '-12'. x = 0.1666666667 + -0.5y Simplifying x = 0.1666666667 + -0.5y
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