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Simplifying 2x + 6x + -3y = 2x + -6x + 6y Combine like terms: 2x + 6x = 8x 8x + -3y = 2x + -6x + 6y Combine like terms: 2x + -6x = -4x 8x + -3y = -4x + 6y Solving 8x + -3y = -4x + 6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 8x + 4x + -3y = -4x + 4x + 6y Combine like terms: 8x + 4x = 12x 12x + -3y = -4x + 4x + 6y Combine like terms: -4x + 4x = 0 12x + -3y = 0 + 6y 12x + -3y = 6y Add '3y' to each side of the equation. 12x + -3y + 3y = 6y + 3y Combine like terms: -3y + 3y = 0 12x + 0 = 6y + 3y 12x = 6y + 3y Combine like terms: 6y + 3y = 9y 12x = 9y Divide each side by '12'. x = 0.75y Simplifying x = 0.75y
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