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Simplifying 2y + -4(3x + 2y) + 2x = 0 2y + (3x * -4 + 2y * -4) + 2x = 0 2y + (-12x + -8y) + 2x = 0 Reorder the terms: -12x + 2x + 2y + -8y = 0 Combine like terms: -12x + 2x = -10x -10x + 2y + -8y = 0 Combine like terms: 2y + -8y = -6y -10x + -6y = 0 Solving -10x + -6y = 0 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. -10x + -6y + 6y = 0 + 6y Combine like terms: -6y + 6y = 0 -10x + 0 = 0 + 6y -10x = 0 + 6y Remove the zero: -10x = 6y Divide each side by '-10'. x = -0.6y Simplifying x = -0.6y
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