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Simplifying 12x + -4y = 3x + 5y Solving 12x + -4y = 3x + 5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12x + -3x + -4y = 3x + -3x + 5y Combine like terms: 12x + -3x = 9x 9x + -4y = 3x + -3x + 5y Combine like terms: 3x + -3x = 0 9x + -4y = 0 + 5y 9x + -4y = 5y Add '4y' to each side of the equation. 9x + -4y + 4y = 5y + 4y Combine like terms: -4y + 4y = 0 9x + 0 = 5y + 4y 9x = 5y + 4y Combine like terms: 5y + 4y = 9y 9x = 9y Divide each side by '9'. x = y Simplifying x = y
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