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Simplifying 3y + 4x = 2x + -6y Reorder the terms: 4x + 3y = 2x + -6y Solving 4x + 3y = 2x + -6y 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. 4x + -2x + 3y = 2x + -2x + -6y Combine like terms: 4x + -2x = 2x 2x + 3y = 2x + -2x + -6y Combine like terms: 2x + -2x = 0 2x + 3y = 0 + -6y 2x + 3y = -6y Add '-3y' to each side of the equation. 2x + 3y + -3y = -6y + -3y Combine like terms: 3y + -3y = 0 2x + 0 = -6y + -3y 2x = -6y + -3y Combine like terms: -6y + -3y = -9y 2x = -9y Divide each side by '2'. x = -4.5y Simplifying x = -4.5y
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