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Simplifying 12x + 3y = 4x + -6y Solving 12x + 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. 12x + -4x + 3y = 4x + -4x + -6y Combine like terms: 12x + -4x = 8x 8x + 3y = 4x + -4x + -6y Combine like terms: 4x + -4x = 0 8x + 3y = 0 + -6y 8x + 3y = -6y Add '-3y' to each side of the equation. 8x + 3y + -3y = -6y + -3y Combine like terms: 3y + -3y = 0 8x + 0 = -6y + -3y 8x = -6y + -3y Combine like terms: -6y + -3y = -9y 8x = -9y Divide each side by '8'. x = -1.125y Simplifying x = -1.125y
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